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Finding the Third Proportional to 67,662 and 148,860

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Solution

The third proportional to 67,662 and 148,860 is: 327,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,662 : 148,860 = 148,860 : x
  2. Step 2: Convert to fraction form
    67,662/148,860 = 148,860/x
  3. Step 3: Cross multiply
    67,662x = 148,860 × 148,860
  4. Step 4: Simplify right side
    67,662x = 22,159,299,600
  5. Step 5: Solve for x
    x = 22,159,299,600/67,662
  6. Step 6: Final answer
    x = 327,499.92

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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.