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Finding the Third Proportional to 58,498 and 88,327

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Solution

The third proportional to 58,498 and 88,327 is: 133,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,498 : 88,327 = 88,327 : x
  2. Step 2: Convert to fraction form
    58,498/88,327 = 88,327/x
  3. Step 3: Cross multiply
    58,498x = 88,327 × 88,327
  4. Step 4: Simplify right side
    58,498x = 7,801,658,929
  5. Step 5: Solve for x
    x = 7,801,658,929/58,498
  6. Step 6: Final answer
    x = 133,366.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.