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Finding the Third Proportional to 41,750 and 89,572

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Solution

The third proportional to 41,750 and 89,572 is: 192,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,750 : 89,572 = 89,572 : x
  2. Step 2: Convert to fraction form
    41,750/89,572 = 89,572/x
  3. Step 3: Cross multiply
    41,750x = 89,572 × 89,572
  4. Step 4: Simplify right side
    41,750x = 8,023,143,184
  5. Step 5: Solve for x
    x = 8,023,143,184/41,750
  6. Step 6: Final answer
    x = 192,171.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.