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Finding the Third Proportional to 63,668 and 125,725

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Solution

The third proportional to 63,668 and 125,725 is: 248,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,668 : 125,725 = 125,725 : x
  2. Step 2: Convert to fraction form
    63,668/125,725 = 125,725/x
  3. Step 3: Cross multiply
    63,668x = 125,725 × 125,725
  4. Step 4: Simplify right side
    63,668x = 15,806,775,625
  5. Step 5: Solve for x
    x = 15,806,775,625/63,668
  6. Step 6: Final answer
    x = 248,268.76

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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.