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Finding the Third Proportional to 117,591 and 176,651.44

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Solution

The third proportional to 117,591 and 176,651.44 is: 265,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,591 : 176,651.44 = 176,651.44 : x
  2. Step 2: Convert to fraction form
    117,591/176,651.44 = 176,651.44/x
  3. Step 3: Cross multiply
    117,591x = 176,651.44 × 176,651.44
  4. Step 4: Simplify right side
    117,591x = 31,205,730,370.82
  5. Step 5: Solve for x
    x = 31,205,730,370.82/117,591
  6. Step 6: Final answer
    x = 265,375.16

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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.