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Finding the Third Proportional to 69,927 and 107,545.25

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Solution

The third proportional to 69,927 and 107,545.25 is: 165,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,927 : 107,545.25 = 107,545.25 : x
  2. Step 2: Convert to fraction form
    69,927/107,545.25 = 107,545.25/x
  3. Step 3: Cross multiply
    69,927x = 107,545.25 × 107,545.25
  4. Step 4: Simplify right side
    69,927x = 11,565,980,797.56
  5. Step 5: Solve for x
    x = 11,565,980,797.56/69,927
  6. Step 6: Final answer
    x = 165,400.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.