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Finding the Third Proportional to 118,555 and 177,836

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Solution

The third proportional to 118,555 and 177,836 is: 266,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,555 : 177,836 = 177,836 : x
  2. Step 2: Convert to fraction form
    118,555/177,836 = 177,836/x
  3. Step 3: Cross multiply
    118,555x = 177,836 × 177,836
  4. Step 4: Simplify right side
    118,555x = 31,625,642,896
  5. Step 5: Solve for x
    x = 31,625,642,896/118,555
  6. Step 6: Final answer
    x = 266,759.25

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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.