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Finding the Third Proportional to 62,753 and 138,142

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Solution

The third proportional to 62,753 and 138,142 is: 304,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,753 : 138,142 = 138,142 : x
  2. Step 2: Convert to fraction form
    62,753/138,142 = 138,142/x
  3. Step 3: Cross multiply
    62,753x = 138,142 × 138,142
  4. Step 4: Simplify right side
    62,753x = 19,083,212,164
  5. Step 5: Solve for x
    x = 19,083,212,164/62,753
  6. Step 6: Final answer
    x = 304,100.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.