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Finding the Third Proportional to 100,021.50 and 141,525.56

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Solution

The third proportional to 100,021.50 and 141,525.56 is: 200,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,021.50 : 141,525.56 = 141,525.56 : x
  2. Step 2: Convert to fraction form
    100,021.50/141,525.56 = 141,525.56/x
  3. Step 3: Cross multiply
    100,021.50x = 141,525.56 × 141,525.56
  4. Step 4: Simplify right side
    100,021.50x = 20,029,484,840.94
  5. Step 5: Solve for x
    x = 20,029,484,840.94/100,021.50
  6. Step 6: Final answer
    x = 200,251.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.