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Finding the Third Proportional to 63,746 and 138,548

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Solution

The third proportional to 63,746 and 138,548 is: 301,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,746 : 138,548 = 138,548 : x
  2. Step 2: Convert to fraction form
    63,746/138,548 = 138,548/x
  3. Step 3: Cross multiply
    63,746x = 138,548 × 138,548
  4. Step 4: Simplify right side
    63,746x = 19,195,548,304
  5. Step 5: Solve for x
    x = 19,195,548,304/63,746
  6. Step 6: Final answer
    x = 301,125.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.