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Finding the Third Proportional to 63,016 and 137,480

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Solution

The third proportional to 63,016 and 137,480 is: 299,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,016 : 137,480 = 137,480 : x
  2. Step 2: Convert to fraction form
    63,016/137,480 = 137,480/x
  3. Step 3: Cross multiply
    63,016x = 137,480 × 137,480
  4. Step 4: Simplify right side
    63,016x = 18,900,750,400
  5. Step 5: Solve for x
    x = 18,900,750,400/63,016
  6. Step 6: Final answer
    x = 299,935.74

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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.