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Finding the Third Proportional to 42,498 and 87,750

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Solution

The third proportional to 42,498 and 87,750 is: 181,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,498 : 87,750 = 87,750 : x
  2. Step 2: Convert to fraction form
    42,498/87,750 = 87,750/x
  3. Step 3: Cross multiply
    42,498x = 87,750 × 87,750
  4. Step 4: Simplify right side
    42,498x = 7,700,062,500
  5. Step 5: Solve for x
    x = 7,700,062,500/42,498
  6. Step 6: Final answer
    x = 181,186.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.