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Finding the Third Proportional to 62,138 and 98,439

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Solution

The third proportional to 62,138 and 98,439 is: 155,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,138 : 98,439 = 98,439 : x
  2. Step 2: Convert to fraction form
    62,138/98,439 = 98,439/x
  3. Step 3: Cross multiply
    62,138x = 98,439 × 98,439
  4. Step 4: Simplify right side
    62,138x = 9,690,236,721
  5. Step 5: Solve for x
    x = 9,690,236,721/62,138
  6. Step 6: Final answer
    x = 155,947.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.