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Finding the Third Proportional to 40,542 and 89,076

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Solution

The third proportional to 40,542 and 89,076 is: 195,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,542 : 89,076 = 89,076 : x
  2. Step 2: Convert to fraction form
    40,542/89,076 = 89,076/x
  3. Step 3: Cross multiply
    40,542x = 89,076 × 89,076
  4. Step 4: Simplify right side
    40,542x = 7,934,533,776
  5. Step 5: Solve for x
    x = 7,934,533,776/40,542
  6. Step 6: Final answer
    x = 195,711.45

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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.