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Finding the Third Proportional to 69,079 and 123,943

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Solution

The third proportional to 69,079 and 123,943 is: 222,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,079 : 123,943 = 123,943 : x
  2. Step 2: Convert to fraction form
    69,079/123,943 = 123,943/x
  3. Step 3: Cross multiply
    69,079x = 123,943 × 123,943
  4. Step 4: Simplify right side
    69,079x = 15,361,867,249
  5. Step 5: Solve for x
    x = 15,361,867,249/69,079
  6. Step 6: Final answer
    x = 222,381.15

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.