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Finding the Third Proportional to 87,894 and 141,498

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Solution

The third proportional to 87,894 and 141,498 is: 227,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,894 : 141,498 = 141,498 : x
  2. Step 2: Convert to fraction form
    87,894/141,498 = 141,498/x
  3. Step 3: Cross multiply
    87,894x = 141,498 × 141,498
  4. Step 4: Simplify right side
    87,894x = 20,021,684,004
  5. Step 5: Solve for x
    x = 20,021,684,004/87,894
  6. Step 6: Final answer
    x = 227,793.52

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.