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Finding the Third Proportional to 63,038 and 135,634

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Solution

The third proportional to 63,038 and 135,634 is: 291,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,038 : 135,634 = 135,634 : x
  2. Step 2: Convert to fraction form
    63,038/135,634 = 135,634/x
  3. Step 3: Cross multiply
    63,038x = 135,634 × 135,634
  4. Step 4: Simplify right side
    63,038x = 18,396,581,956
  5. Step 5: Solve for x
    x = 18,396,581,956/63,038
  6. Step 6: Final answer
    x = 291,833.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.