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Finding the Third Proportional to 63,127 and 135,790

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Solution

The third proportional to 63,127 and 135,790 is: 292,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,127 : 135,790 = 135,790 : x
  2. Step 2: Convert to fraction form
    63,127/135,790 = 135,790/x
  3. Step 3: Cross multiply
    63,127x = 135,790 × 135,790
  4. Step 4: Simplify right side
    63,127x = 18,438,924,100
  5. Step 5: Solve for x
    x = 18,438,924,100/63,127
  6. Step 6: Final answer
    x = 292,092.51

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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.