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Finding the Third Proportional to 62,361 and 137,847

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Solution

The third proportional to 62,361 and 137,847 is: 304,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,361 : 137,847 = 137,847 : x
  2. Step 2: Convert to fraction form
    62,361/137,847 = 137,847/x
  3. Step 3: Cross multiply
    62,361x = 137,847 × 137,847
  4. Step 4: Simplify right side
    62,361x = 19,001,795,409
  5. Step 5: Solve for x
    x = 19,001,795,409/62,361
  6. Step 6: Final answer
    x = 304,706.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.