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Finding the Third Proportional to 63,832 and 136,352

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Solution

The third proportional to 63,832 and 136,352 is: 291,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,832 : 136,352 = 136,352 : x
  2. Step 2: Convert to fraction form
    63,832/136,352 = 136,352/x
  3. Step 3: Cross multiply
    63,832x = 136,352 × 136,352
  4. Step 4: Simplify right side
    63,832x = 18,591,867,904
  5. Step 5: Solve for x
    x = 18,591,867,904/63,832
  6. Step 6: Final answer
    x = 291,262.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.