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Finding the Third Proportional to 117,512.44 and 176,529.38

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Solution

The third proportional to 117,512.44 and 176,529.38 is: 265,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,512.44 : 176,529.38 = 176,529.38 : x
  2. Step 2: Convert to fraction form
    117,512.44/176,529.38 = 176,529.38/x
  3. Step 3: Cross multiply
    117,512.44x = 176,529.38 × 176,529.38
  4. Step 4: Simplify right side
    117,512.44x = 31,162,620,237.89
  5. Step 5: Solve for x
    x = 31,162,620,237.89/117,512.44
  6. Step 6: Final answer
    x = 265,185.72

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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.