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Finding the Third Proportional to 32,899 and 72,360

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Solution

The third proportional to 32,899 and 72,360 is: 159,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,899 : 72,360 = 72,360 : x
  2. Step 2: Convert to fraction form
    32,899/72,360 = 72,360/x
  3. Step 3: Cross multiply
    32,899x = 72,360 × 72,360
  4. Step 4: Simplify right side
    32,899x = 5,235,969,600
  5. Step 5: Solve for x
    x = 5,235,969,600/32,899
  6. Step 6: Final answer
    x = 159,152.85

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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.