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Finding the Third Proportional to 40,572 and 87,180

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Solution

The third proportional to 40,572 and 87,180 is: 187,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,572 : 87,180 = 87,180 : x
  2. Step 2: Convert to fraction form
    40,572/87,180 = 87,180/x
  3. Step 3: Cross multiply
    40,572x = 87,180 × 87,180
  4. Step 4: Simplify right side
    40,572x = 7,600,352,400
  5. Step 5: Solve for x
    x = 7,600,352,400/40,572
  6. Step 6: Final answer
    x = 187,329.99

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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.