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Finding the Third Proportional to 61,567 and 132,551

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Solution

The third proportional to 61,567 and 132,551 is: 285,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,567 : 132,551 = 132,551 : x
  2. Step 2: Convert to fraction form
    61,567/132,551 = 132,551/x
  3. Step 3: Cross multiply
    61,567x = 132,551 × 132,551
  4. Step 4: Simplify right side
    61,567x = 17,569,767,601
  5. Step 5: Solve for x
    x = 17,569,767,601/61,567
  6. Step 6: Final answer
    x = 285,376.38

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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.