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Finding the Third Proportional to 127,514.25 and 187,383.38

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Solution

The third proportional to 127,514.25 and 187,383.38 is: 275,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,514.25 : 187,383.38 = 187,383.38 : x
  2. Step 2: Convert to fraction form
    127,514.25/187,383.38 = 187,383.38/x
  3. Step 3: Cross multiply
    127,514.25x = 187,383.38 × 187,383.38
  4. Step 4: Simplify right side
    127,514.25x = 35,112,529,226.39
  5. Step 5: Solve for x
    x = 35,112,529,226.39/127,514.25
  6. Step 6: Final answer
    x = 275,361.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.