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Finding the Third Proportional to 40,723 and 89,617

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Solution

The third proportional to 40,723 and 89,617 is: 197,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,723 : 89,617 = 89,617 : x
  2. Step 2: Convert to fraction form
    40,723/89,617 = 89,617/x
  3. Step 3: Cross multiply
    40,723x = 89,617 × 89,617
  4. Step 4: Simplify right side
    40,723x = 8,031,206,689
  5. Step 5: Solve for x
    x = 8,031,206,689/40,723
  6. Step 6: Final answer
    x = 197,215.50

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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.