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Finding the Third Proportional to 63,538 and 135,508

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Solution

The third proportional to 63,538 and 135,508 is: 288,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,538 : 135,508 = 135,508 : x
  2. Step 2: Convert to fraction form
    63,538/135,508 = 135,508/x
  3. Step 3: Cross multiply
    63,538x = 135,508 × 135,508
  4. Step 4: Simplify right side
    63,538x = 18,362,418,064
  5. Step 5: Solve for x
    x = 18,362,418,064/63,538
  6. Step 6: Final answer
    x = 288,998.99

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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.