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Finding the Third Proportional to 62,179.75 and 133,231

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Solution

The third proportional to 62,179.75 and 133,231 is: 285,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,179.75 : 133,231 = 133,231 : x
  2. Step 2: Convert to fraction form
    62,179.75/133,231 = 133,231/x
  3. Step 3: Cross multiply
    62,179.75x = 133,231 × 133,231
  4. Step 4: Simplify right side
    62,179.75x = 17,750,499,361
  5. Step 5: Solve for x
    x = 17,750,499,361/62,179.75
  6. Step 6: Final answer
    x = 285,470.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.