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Finding the Third Proportional to 63,642 and 125,677

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Solution

The third proportional to 63,642 and 125,677 is: 248,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,642 : 125,677 = 125,677 : x
  2. Step 2: Convert to fraction form
    63,642/125,677 = 125,677/x
  3. Step 3: Cross multiply
    63,642x = 125,677 × 125,677
  4. Step 4: Simplify right side
    63,642x = 15,794,708,329
  5. Step 5: Solve for x
    x = 15,794,708,329/63,642
  6. Step 6: Final answer
    x = 248,180.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.