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Finding the Third Proportional to 67,692 and 148,880

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Solution

The third proportional to 67,692 and 148,880 is: 327,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,692 : 148,880 = 148,880 : x
  2. Step 2: Convert to fraction form
    67,692/148,880 = 148,880/x
  3. Step 3: Cross multiply
    67,692x = 148,880 × 148,880
  4. Step 4: Simplify right side
    67,692x = 22,165,254,400
  5. Step 5: Solve for x
    x = 22,165,254,400/67,692
  6. Step 6: Final answer
    x = 327,442.75

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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.