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Finding the Third Proportional to 41,371 and 89,301.25

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Solution

The third proportional to 41,371 and 89,301.25 is: 192,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,371 : 89,301.25 = 89,301.25 : x
  2. Step 2: Convert to fraction form
    41,371/89,301.25 = 89,301.25/x
  3. Step 3: Cross multiply
    41,371x = 89,301.25 × 89,301.25
  4. Step 4: Simplify right side
    41,371x = 7,974,713,251.56
  5. Step 5: Solve for x
    x = 7,974,713,251.56/41,371
  6. Step 6: Final answer
    x = 192,760.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.