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Finding the Third Proportional to 63,538 and 135,801

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Solution

The third proportional to 63,538 and 135,801 is: 290,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,538 : 135,801 = 135,801 : x
  2. Step 2: Convert to fraction form
    63,538/135,801 = 135,801/x
  3. Step 3: Cross multiply
    63,538x = 135,801 × 135,801
  4. Step 4: Simplify right side
    63,538x = 18,441,911,601
  5. Step 5: Solve for x
    x = 18,441,911,601/63,538
  6. Step 6: Final answer
    x = 290,250.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.