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Finding the Third Proportional to 63,498 and 137,932

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Solution

The third proportional to 63,498 and 137,932 is: 299,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,498 : 137,932 = 137,932 : x
  2. Step 2: Convert to fraction form
    63,498/137,932 = 137,932/x
  3. Step 3: Cross multiply
    63,498x = 137,932 × 137,932
  4. Step 4: Simplify right side
    63,498x = 19,025,236,624
  5. Step 5: Solve for x
    x = 19,025,236,624/63,498
  6. Step 6: Final answer
    x = 299,619.46

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