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Finding the Third Proportional to 63,382 and 137,132

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Solution

The third proportional to 63,382 and 137,132 is: 296,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,382 : 137,132 = 137,132 : x
  2. Step 2: Convert to fraction form
    63,382/137,132 = 137,132/x
  3. Step 3: Cross multiply
    63,382x = 137,132 × 137,132
  4. Step 4: Simplify right side
    63,382x = 18,805,185,424
  5. Step 5: Solve for x
    x = 18,805,185,424/63,382
  6. Step 6: Final answer
    x = 296,695.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.