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Finding the Third Proportional to 32,860 and 72,280

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Solution

The third proportional to 32,860 and 72,280 is: 158,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,860 : 72,280 = 72,280 : x
  2. Step 2: Convert to fraction form
    32,860/72,280 = 72,280/x
  3. Step 3: Cross multiply
    32,860x = 72,280 × 72,280
  4. Step 4: Simplify right side
    32,860x = 5,224,398,400
  5. Step 5: Solve for x
    x = 5,224,398,400/32,860
  6. Step 6: Final answer
    x = 158,989.60

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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.