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Finding the Third Proportional to 63,280.13 and 137,629.88

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Solution

The third proportional to 63,280.13 and 137,629.88 is: 299,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,280.13 : 137,629.88 = 137,629.88 : x
  2. Step 2: Convert to fraction form
    63,280.13/137,629.88 = 137,629.88/x
  3. Step 3: Cross multiply
    63,280.13x = 137,629.88 × 137,629.88
  4. Step 4: Simplify right side
    63,280.13x = 18,941,982,492.52
  5. Step 5: Solve for x
    x = 18,941,982,492.52/63,280.13
  6. Step 6: Final answer
    x = 299,335.42

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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.