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Finding the Third Proportional to 118,168.88 and 177,339.38

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Solution

The third proportional to 118,168.88 and 177,339.38 is: 266,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,168.88 : 177,339.38 = 177,339.38 : x
  2. Step 2: Convert to fraction form
    118,168.88/177,339.38 = 177,339.38/x
  3. Step 3: Cross multiply
    118,168.88x = 177,339.38 × 177,339.38
  4. Step 4: Simplify right side
    118,168.88x = 31,449,253,925.39
  5. Step 5: Solve for x
    x = 31,449,253,925.39/118,168.88
  6. Step 6: Final answer
    x = 266,138.22

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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.