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Finding the Third Proportional to 40,715 and 86,806

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Solution

The third proportional to 40,715 and 86,806 is: 185,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,715 : 86,806 = 86,806 : x
  2. Step 2: Convert to fraction form
    40,715/86,806 = 86,806/x
  3. Step 3: Cross multiply
    40,715x = 86,806 × 86,806
  4. Step 4: Simplify right side
    40,715x = 7,535,281,636
  5. Step 5: Solve for x
    x = 7,535,281,636/40,715
  6. Step 6: Final answer
    x = 185,073.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.