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Finding the Third Proportional to 67,434 and 101,367

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Solution

The third proportional to 67,434 and 101,367 is: 152,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,434 : 101,367 = 101,367 : x
  2. Step 2: Convert to fraction form
    67,434/101,367 = 101,367/x
  3. Step 3: Cross multiply
    67,434x = 101,367 × 101,367
  4. Step 4: Simplify right side
    67,434x = 10,275,268,689
  5. Step 5: Solve for x
    x = 10,275,268,689/67,434
  6. Step 6: Final answer
    x = 152,375.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.