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Finding the Third Proportional to 67,005 and 138,870

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Solution

The third proportional to 67,005 and 138,870 is: 287,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,005 : 138,870 = 138,870 : x
  2. Step 2: Convert to fraction form
    67,005/138,870 = 138,870/x
  3. Step 3: Cross multiply
    67,005x = 138,870 × 138,870
  4. Step 4: Simplify right side
    67,005x = 19,284,876,900
  5. Step 5: Solve for x
    x = 19,284,876,900/67,005
  6. Step 6: Final answer
    x = 287,812.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.