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Finding the Third Proportional to 117,993.38 and 177,001.88

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Solution

The third proportional to 117,993.38 and 177,001.88 is: 265,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,993.38 : 177,001.88 = 177,001.88 : x
  2. Step 2: Convert to fraction form
    117,993.38/177,001.88 = 177,001.88/x
  3. Step 3: Cross multiply
    117,993.38x = 177,001.88 × 177,001.88
  4. Step 4: Simplify right side
    117,993.38x = 31,329,663,753.52
  5. Step 5: Solve for x
    x = 31,329,663,753.52/117,993.38
  6. Step 6: Final answer
    x = 265,520.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.