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Finding the Third Proportional to 95,514.19 and 147,280.78

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Solution

The third proportional to 95,514.19 and 147,280.78 is: 227,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,514.19 : 147,280.78 = 147,280.78 : x
  2. Step 2: Convert to fraction form
    95,514.19/147,280.78 = 147,280.78/x
  3. Step 3: Cross multiply
    95,514.19x = 147,280.78 × 147,280.78
  4. Step 4: Simplify right side
    95,514.19x = 21,691,628,525.61
  5. Step 5: Solve for x
    x = 21,691,628,525.61/95,514.19
  6. Step 6: Final answer
    x = 227,103.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.