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Finding the Third Proportional to 63,680 and 136,757

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Solution

The third proportional to 63,680 and 136,757 is: 293,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,680 : 136,757 = 136,757 : x
  2. Step 2: Convert to fraction form
    63,680/136,757 = 136,757/x
  3. Step 3: Cross multiply
    63,680x = 136,757 × 136,757
  4. Step 4: Simplify right side
    63,680x = 18,702,477,049
  5. Step 5: Solve for x
    x = 18,702,477,049/63,680
  6. Step 6: Final answer
    x = 293,694.68

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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.