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Finding the Third Proportional to 63,681 and 136,755

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Solution

The third proportional to 63,681 and 136,755 is: 293,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,681 : 136,755 = 136,755 : x
  2. Step 2: Convert to fraction form
    63,681/136,755 = 136,755/x
  3. Step 3: Cross multiply
    63,681x = 136,755 × 136,755
  4. Step 4: Simplify right side
    63,681x = 18,701,930,025
  5. Step 5: Solve for x
    x = 18,701,930,025/63,681
  6. Step 6: Final answer
    x = 293,681.48

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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.