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Finding the Third Proportional to 69,731 and 152,422

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Solution

The third proportional to 69,731 and 152,422 is: 333,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,731 : 152,422 = 152,422 : x
  2. Step 2: Convert to fraction form
    69,731/152,422 = 152,422/x
  3. Step 3: Cross multiply
    69,731x = 152,422 × 152,422
  4. Step 4: Simplify right side
    69,731x = 23,232,466,084
  5. Step 5: Solve for x
    x = 23,232,466,084/69,731
  6. Step 6: Final answer
    x = 333,172.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.