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Finding the Third Proportional to 69,952.75 and 152,711.13

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Solution

The third proportional to 69,952.75 and 152,711.13 is: 333,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,952.75 : 152,711.13 = 152,711.13 : x
  2. Step 2: Convert to fraction form
    69,952.75/152,711.13 = 152,711.13/x
  3. Step 3: Cross multiply
    69,952.75x = 152,711.13 × 152,711.13
  4. Step 4: Simplify right side
    69,952.75x = 23,320,687,698.77
  5. Step 5: Solve for x
    x = 23,320,687,698.77/69,952.75
  6. Step 6: Final answer
    x = 333,377.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.