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Finding the Third Proportional to 69,077.25 and 123,939

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Solution

The third proportional to 69,077.25 and 123,939 is: 222,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,077.25 : 123,939 = 123,939 : x
  2. Step 2: Convert to fraction form
    69,077.25/123,939 = 123,939/x
  3. Step 3: Cross multiply
    69,077.25x = 123,939 × 123,939
  4. Step 4: Simplify right side
    69,077.25x = 15,360,875,721
  5. Step 5: Solve for x
    x = 15,360,875,721/69,077.25
  6. Step 6: Final answer
    x = 222,372.43

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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.