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Finding the Third Proportional to 61,569 and 132,561

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Solution

The third proportional to 61,569 and 132,561 is: 285,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,569 : 132,561 = 132,561 : x
  2. Step 2: Convert to fraction form
    61,569/132,561 = 132,561/x
  3. Step 3: Cross multiply
    61,569x = 132,561 × 132,561
  4. Step 4: Simplify right side
    61,569x = 17,572,418,721
  5. Step 5: Solve for x
    x = 17,572,418,721/61,569
  6. Step 6: Final answer
    x = 285,410.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.