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Finding the Third Proportional to 100,039.50 and 152,600.13

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Solution

The third proportional to 100,039.50 and 152,600.13 is: 232,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039.50 : 152,600.13 = 152,600.13 : x
  2. Step 2: Convert to fraction form
    100,039.50/152,600.13 = 152,600.13/x
  3. Step 3: Cross multiply
    100,039.50x = 152,600.13 × 152,600.13
  4. Step 4: Simplify right side
    100,039.50x = 23,286,798,150.02
  5. Step 5: Solve for x
    x = 23,286,798,150.02/100,039.50
  6. Step 6: Final answer
    x = 232,776.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.