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Finding the Third Proportional to 63,040 and 135,638

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Solution

The third proportional to 63,040 and 135,638 is: 291,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,040 : 135,638 = 135,638 : x
  2. Step 2: Convert to fraction form
    63,040/135,638 = 135,638/x
  3. Step 3: Cross multiply
    63,040x = 135,638 × 135,638
  4. Step 4: Simplify right side
    63,040x = 18,397,667,044
  5. Step 5: Solve for x
    x = 18,397,667,044/63,040
  6. Step 6: Final answer
    x = 291,841.17

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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.