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Finding the Third Proportional to 118,556.25 and 177,838.88

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Solution

The third proportional to 118,556.25 and 177,838.88 is: 266,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,556.25 : 177,838.88 = 177,838.88 : x
  2. Step 2: Convert to fraction form
    118,556.25/177,838.88 = 177,838.88/x
  3. Step 3: Cross multiply
    118,556.25x = 177,838.88 × 177,838.88
  4. Step 4: Simplify right side
    118,556.25x = 31,626,665,461.27
  5. Step 5: Solve for x
    x = 31,626,665,461.27/118,556.25
  6. Step 6: Final answer
    x = 266,765.06

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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.