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Finding the Third Proportional to 40,860 and 89,748

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Solution

The third proportional to 40,860 and 89,748 is: 197,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,860 : 89,748 = 89,748 : x
  2. Step 2: Convert to fraction form
    40,860/89,748 = 89,748/x
  3. Step 3: Cross multiply
    40,860x = 89,748 × 89,748
  4. Step 4: Simplify right side
    40,860x = 8,054,703,504
  5. Step 5: Solve for x
    x = 8,054,703,504/40,860
  6. Step 6: Final answer
    x = 197,129.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.