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Finding the Third Proportional to 61,299 and 95,581.13

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Solution

The third proportional to 61,299 and 95,581.13 is: 149,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,299 : 95,581.13 = 95,581.13 : x
  2. Step 2: Convert to fraction form
    61,299/95,581.13 = 95,581.13/x
  3. Step 3: Cross multiply
    61,299x = 95,581.13 × 95,581.13
  4. Step 4: Simplify right side
    61,299x = 9,135,751,456.27
  5. Step 5: Solve for x
    x = 9,135,751,456.27/61,299
  6. Step 6: Final answer
    x = 149,035.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.