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Finding the Third Proportional to 61,396 and 132,452

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Solution

The third proportional to 61,396 and 132,452 is: 285,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,396 : 132,452 = 132,452 : x
  2. Step 2: Convert to fraction form
    61,396/132,452 = 132,452/x
  3. Step 3: Cross multiply
    61,396x = 132,452 × 132,452
  4. Step 4: Simplify right side
    61,396x = 17,543,532,304
  5. Step 5: Solve for x
    x = 17,543,532,304/61,396
  6. Step 6: Final answer
    x = 285,743.90

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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.