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Finding the Third Proportional to 63,351 and 137,655

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Solution

The third proportional to 63,351 and 137,655 is: 299,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,351 : 137,655 = 137,655 : x
  2. Step 2: Convert to fraction form
    63,351/137,655 = 137,655/x
  3. Step 3: Cross multiply
    63,351x = 137,655 × 137,655
  4. Step 4: Simplify right side
    63,351x = 18,948,899,025
  5. Step 5: Solve for x
    x = 18,948,899,025/63,351
  6. Step 6: Final answer
    x = 299,109.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.