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Finding the Third Proportional to 62,903 and 137,469

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Solution

The third proportional to 62,903 and 137,469 is: 300,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,903 : 137,469 = 137,469 : x
  2. Step 2: Convert to fraction form
    62,903/137,469 = 137,469/x
  3. Step 3: Cross multiply
    62,903x = 137,469 × 137,469
  4. Step 4: Simplify right side
    62,903x = 18,897,725,961
  5. Step 5: Solve for x
    x = 18,897,725,961/62,903
  6. Step 6: Final answer
    x = 300,426.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.