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Finding the Third Proportional to 62,399 and 89,231

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Solution

The third proportional to 62,399 and 89,231 is: 127,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,399 : 89,231 = 89,231 : x
  2. Step 2: Convert to fraction form
    62,399/89,231 = 89,231/x
  3. Step 3: Cross multiply
    62,399x = 89,231 × 89,231
  4. Step 4: Simplify right side
    62,399x = 7,962,171,361
  5. Step 5: Solve for x
    x = 7,962,171,361/62,399
  6. Step 6: Final answer
    x = 127,600.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.