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Finding the Third Proportional to 117,738.75 and 176,148.75

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Solution

The third proportional to 117,738.75 and 176,148.75 is: 263,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,738.75 : 176,148.75 = 176,148.75 : x
  2. Step 2: Convert to fraction form
    117,738.75/176,148.75 = 176,148.75/x
  3. Step 3: Cross multiply
    117,738.75x = 176,148.75 × 176,148.75
  4. Step 4: Simplify right side
    117,738.75x = 31,028,382,126.56
  5. Step 5: Solve for x
    x = 31,028,382,126.56/117,738.75
  6. Step 6: Final answer
    x = 263,535.85

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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.