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Finding the Third Proportional to 67,874 and 147,364

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Solution

The third proportional to 67,874 and 147,364 is: 319,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874 : 147,364 = 147,364 : x
  2. Step 2: Convert to fraction form
    67,874/147,364 = 147,364/x
  3. Step 3: Cross multiply
    67,874x = 147,364 × 147,364
  4. Step 4: Simplify right side
    67,874x = 21,716,148,496
  5. Step 5: Solve for x
    x = 21,716,148,496/67,874
  6. Step 6: Final answer
    x = 319,947.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.