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Finding the Third Proportional to 67,340 and 141,640

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Solution

The third proportional to 67,340 and 141,640 is: 297,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,340 : 141,640 = 141,640 : x
  2. Step 2: Convert to fraction form
    67,340/141,640 = 141,640/x
  3. Step 3: Cross multiply
    67,340x = 141,640 × 141,640
  4. Step 4: Simplify right side
    67,340x = 20,061,889,600
  5. Step 5: Solve for x
    x = 20,061,889,600/67,340
  6. Step 6: Final answer
    x = 297,919.36

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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.