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Finding the Third Proportional to 69,207.75 and 146,616.75

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Solution

The third proportional to 69,207.75 and 146,616.75 is: 310,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,207.75 : 146,616.75 = 146,616.75 : x
  2. Step 2: Convert to fraction form
    69,207.75/146,616.75 = 146,616.75/x
  3. Step 3: Cross multiply
    69,207.75x = 146,616.75 × 146,616.75
  4. Step 4: Simplify right side
    69,207.75x = 21,496,471,380.56
  5. Step 5: Solve for x
    x = 21,496,471,380.56/69,207.75
  6. Step 6: Final answer
    x = 310,607.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.