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Finding the Third Proportional to 40,552 and 87,096

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Solution

The third proportional to 40,552 and 87,096 is: 187,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,552 : 87,096 = 87,096 : x
  2. Step 2: Convert to fraction form
    40,552/87,096 = 87,096/x
  3. Step 3: Cross multiply
    40,552x = 87,096 × 87,096
  4. Step 4: Simplify right side
    40,552x = 7,585,713,216
  5. Step 5: Solve for x
    x = 7,585,713,216/40,552
  6. Step 6: Final answer
    x = 187,061.38

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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.