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Finding the Third Proportional to 62,732 and 138,100

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Solution

The third proportional to 62,732 and 138,100 is: 304,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,732 : 138,100 = 138,100 : x
  2. Step 2: Convert to fraction form
    62,732/138,100 = 138,100/x
  3. Step 3: Cross multiply
    62,732x = 138,100 × 138,100
  4. Step 4: Simplify right side
    62,732x = 19,071,610,000
  5. Step 5: Solve for x
    x = 19,071,610,000/62,732
  6. Step 6: Final answer
    x = 304,017.25

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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.