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Finding the Third Proportional to 41,451 and 89,382

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Solution

The third proportional to 41,451 and 89,382 is: 192,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,451 : 89,382 = 89,382 : x
  2. Step 2: Convert to fraction form
    41,451/89,382 = 89,382/x
  3. Step 3: Cross multiply
    41,451x = 89,382 × 89,382
  4. Step 4: Simplify right side
    41,451x = 7,989,141,924
  5. Step 5: Solve for x
    x = 7,989,141,924/41,451
  6. Step 6: Final answer
    x = 192,737.01

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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.