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Finding the Third Proportional to 63,882 and 93,051

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Solution

The third proportional to 63,882 and 93,051 is: 135,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,882 : 93,051 = 93,051 : x
  2. Step 2: Convert to fraction form
    63,882/93,051 = 93,051/x
  3. Step 3: Cross multiply
    63,882x = 93,051 × 93,051
  4. Step 4: Simplify right side
    63,882x = 8,658,488,601
  5. Step 5: Solve for x
    x = 8,658,488,601/63,882
  6. Step 6: Final answer
    x = 135,538.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.