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Finding the Third Proportional to 67,707 and 146,714

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Solution

The third proportional to 67,707 and 146,714 is: 317,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,707 : 146,714 = 146,714 : x
  2. Step 2: Convert to fraction form
    67,707/146,714 = 146,714/x
  3. Step 3: Cross multiply
    67,707x = 146,714 × 146,714
  4. Step 4: Simplify right side
    67,707x = 21,524,997,796
  5. Step 5: Solve for x
    x = 21,524,997,796/67,707
  6. Step 6: Final answer
    x = 317,913.92

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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.