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Finding the Third Proportional to 63,602 and 138,748

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Solution

The third proportional to 63,602 and 138,748 is: 302,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,602 : 138,748 = 138,748 : x
  2. Step 2: Convert to fraction form
    63,602/138,748 = 138,748/x
  3. Step 3: Cross multiply
    63,602x = 138,748 × 138,748
  4. Step 4: Simplify right side
    63,602x = 19,251,007,504
  5. Step 5: Solve for x
    x = 19,251,007,504/63,602
  6. Step 6: Final answer
    x = 302,679.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.