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Finding the Third Proportional to 61,892 and 132,135

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Solution

The third proportional to 61,892 and 132,135 is: 282,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,892 : 132,135 = 132,135 : x
  2. Step 2: Convert to fraction form
    61,892/132,135 = 132,135/x
  3. Step 3: Cross multiply
    61,892x = 132,135 × 132,135
  4. Step 4: Simplify right side
    61,892x = 17,459,658,225
  5. Step 5: Solve for x
    x = 17,459,658,225/61,892
  6. Step 6: Final answer
    x = 282,098.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.