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Finding the Third Proportional to 67,348 and 141,680

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Solution

The third proportional to 67,348 and 141,680 is: 298,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,348 : 141,680 = 141,680 : x
  2. Step 2: Convert to fraction form
    67,348/141,680 = 141,680/x
  3. Step 3: Cross multiply
    67,348x = 141,680 × 141,680
  4. Step 4: Simplify right side
    67,348x = 20,073,222,400
  5. Step 5: Solve for x
    x = 20,073,222,400/67,348
  6. Step 6: Final answer
    x = 298,052.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.