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Finding the Third Proportional to 41,391 and 89,748

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Solution

The third proportional to 41,391 and 89,748 is: 194,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,391 : 89,748 = 89,748 : x
  2. Step 2: Convert to fraction form
    41,391/89,748 = 89,748/x
  3. Step 3: Cross multiply
    41,391x = 89,748 × 89,748
  4. Step 4: Simplify right side
    41,391x = 8,054,703,504
  5. Step 5: Solve for x
    x = 8,054,703,504/41,391
  6. Step 6: Final answer
    x = 194,600.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.