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Finding the Third Proportional to 61,561 and 132,966

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Solution

The third proportional to 61,561 and 132,966 is: 287,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,561 : 132,966 = 132,966 : x
  2. Step 2: Convert to fraction form
    61,561/132,966 = 132,966/x
  3. Step 3: Cross multiply
    61,561x = 132,966 × 132,966
  4. Step 4: Simplify right side
    61,561x = 17,679,957,156
  5. Step 5: Solve for x
    x = 17,679,957,156/61,561
  6. Step 6: Final answer
    x = 287,194.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.