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Finding the Third Proportional to 62,482 and 91,393

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Solution

The third proportional to 62,482 and 91,393 is: 133,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,482 : 91,393 = 91,393 : x
  2. Step 2: Convert to fraction form
    62,482/91,393 = 91,393/x
  3. Step 3: Cross multiply
    62,482x = 91,393 × 91,393
  4. Step 4: Simplify right side
    62,482x = 8,352,680,449
  5. Step 5: Solve for x
    x = 8,352,680,449/62,482
  6. Step 6: Final answer
    x = 133,681.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.