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Finding the Third Proportional to 67,874 and 145,780

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Solution

The third proportional to 67,874 and 145,780 is: 313,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874 : 145,780 = 145,780 : x
  2. Step 2: Convert to fraction form
    67,874/145,780 = 145,780/x
  3. Step 3: Cross multiply
    67,874x = 145,780 × 145,780
  4. Step 4: Simplify right side
    67,874x = 21,251,808,400
  5. Step 5: Solve for x
    x = 21,251,808,400/67,874
  6. Step 6: Final answer
    x = 313,106.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.