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Finding the Third Proportional to 67,340 and 141,646

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Solution

The third proportional to 67,340 and 141,646 is: 297,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,340 : 141,646 = 141,646 : x
  2. Step 2: Convert to fraction form
    67,340/141,646 = 141,646/x
  3. Step 3: Cross multiply
    67,340x = 141,646 × 141,646
  4. Step 4: Simplify right side
    67,340x = 20,063,589,316
  5. Step 5: Solve for x
    x = 20,063,589,316/67,340
  6. Step 6: Final answer
    x = 297,944.60

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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.