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Finding the Third Proportional to 136,084.50 and 177,882.75

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Solution

The third proportional to 136,084.50 and 177,882.75 is: 232,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,084.50 : 177,882.75 = 177,882.75 : x
  2. Step 2: Convert to fraction form
    136,084.50/177,882.75 = 177,882.75/x
  3. Step 3: Cross multiply
    136,084.50x = 177,882.75 × 177,882.75
  4. Step 4: Simplify right side
    136,084.50x = 31,642,272,747.56
  5. Step 5: Solve for x
    x = 31,642,272,747.56/136,084.50
  6. Step 6: Final answer
    x = 232,519.30

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.