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Finding the Third Proportional to 63,280 and 138,016

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Solution

The third proportional to 63,280 and 138,016 is: 301,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,280 : 138,016 = 138,016 : x
  2. Step 2: Convert to fraction form
    63,280/138,016 = 138,016/x
  3. Step 3: Cross multiply
    63,280x = 138,016 × 138,016
  4. Step 4: Simplify right side
    63,280x = 19,048,416,256
  5. Step 5: Solve for x
    x = 19,048,416,256/63,280
  6. Step 6: Final answer
    x = 301,017.96

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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.