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Finding the Third Proportional to 67,343 and 141,663

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Solution

The third proportional to 67,343 and 141,663 is: 298,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,343 : 141,663 = 141,663 : x
  2. Step 2: Convert to fraction form
    67,343/141,663 = 141,663/x
  3. Step 3: Cross multiply
    67,343x = 141,663 × 141,663
  4. Step 4: Simplify right side
    67,343x = 20,068,405,569
  5. Step 5: Solve for x
    x = 20,068,405,569/67,343
  6. Step 6: Final answer
    x = 298,002.84

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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.