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Finding the Third Proportional to 80,722 and 133,403

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Solution

The third proportional to 80,722 and 133,403 is: 220,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,722 : 133,403 = 133,403 : x
  2. Step 2: Convert to fraction form
    80,722/133,403 = 133,403/x
  3. Step 3: Cross multiply
    80,722x = 133,403 × 133,403
  4. Step 4: Simplify right side
    80,722x = 17,796,360,409
  5. Step 5: Solve for x
    x = 17,796,360,409/80,722
  6. Step 6: Final answer
    x = 220,464.81

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.