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Finding the Third Proportional to 47,119.50 and 102,561.75

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Solution

The third proportional to 47,119.50 and 102,561.75 is: 223,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,119.50 : 102,561.75 = 102,561.75 : x
  2. Step 2: Convert to fraction form
    47,119.50/102,561.75 = 102,561.75/x
  3. Step 3: Cross multiply
    47,119.50x = 102,561.75 × 102,561.75
  4. Step 4: Simplify right side
    47,119.50x = 10,518,912,563.06
  5. Step 5: Solve for x
    x = 10,518,912,563.06/47,119.50
  6. Step 6: Final answer
    x = 223,239.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.