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Finding the Third Proportional to 127,514.25 and 178,270.88

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Solution

The third proportional to 127,514.25 and 178,270.88 is: 249,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,514.25 : 178,270.88 = 178,270.88 : x
  2. Step 2: Convert to fraction form
    127,514.25/178,270.88 = 178,270.88/x
  3. Step 3: Cross multiply
    127,514.25x = 178,270.88 × 178,270.88
  4. Step 4: Simplify right side
    127,514.25x = 31,780,504,873.27
  5. Step 5: Solve for x
    x = 31,780,504,873.27/127,514.25
  6. Step 6: Final answer
    x = 249,231.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.