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Finding the Third Proportional to 61,366 and 132,391

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Solution

The third proportional to 61,366 and 132,391 is: 285,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,366 : 132,391 = 132,391 : x
  2. Step 2: Convert to fraction form
    61,366/132,391 = 132,391/x
  3. Step 3: Cross multiply
    61,366x = 132,391 × 132,391
  4. Step 4: Simplify right side
    61,366x = 17,527,376,881
  5. Step 5: Solve for x
    x = 17,527,376,881/61,366
  6. Step 6: Final answer
    x = 285,620.33

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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.