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Finding the Third Proportional to 61,805 and 73,469

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Solution

The third proportional to 61,805 and 73,469 is: 87,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,805 : 73,469 = 73,469 : x
  2. Step 2: Convert to fraction form
    61,805/73,469 = 73,469/x
  3. Step 3: Cross multiply
    61,805x = 73,469 × 73,469
  4. Step 4: Simplify right side
    61,805x = 5,397,693,961
  5. Step 5: Solve for x
    x = 5,397,693,961/61,805
  6. Step 6: Final answer
    x = 87,334.26

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.