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Finding the Third Proportional to 63,527 and 135,496

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Solution

The third proportional to 63,527 and 135,496 is: 288,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,527 : 135,496 = 135,496 : x
  2. Step 2: Convert to fraction form
    63,527/135,496 = 135,496/x
  3. Step 3: Cross multiply
    63,527x = 135,496 × 135,496
  4. Step 4: Simplify right side
    63,527x = 18,359,166,016
  5. Step 5: Solve for x
    x = 18,359,166,016/63,527
  6. Step 6: Final answer
    x = 288,997.84

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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.