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Finding the Third Proportional to 118,160.75 and 177,327.50

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Solution

The third proportional to 118,160.75 and 177,327.50 is: 266,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,160.75 : 177,327.50 = 177,327.50 : x
  2. Step 2: Convert to fraction form
    118,160.75/177,327.50 = 177,327.50/x
  3. Step 3: Cross multiply
    118,160.75x = 177,327.50 × 177,327.50
  4. Step 4: Simplify right side
    118,160.75x = 31,445,042,256.25
  5. Step 5: Solve for x
    x = 31,445,042,256.25/118,160.75
  6. Step 6: Final answer
    x = 266,120.88

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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.