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Finding the Third Proportional to 95,020.50 and 127,923

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Solution

The third proportional to 95,020.50 and 127,923 is: 172,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,020.50 : 127,923 = 127,923 : x
  2. Step 2: Convert to fraction form
    95,020.50/127,923 = 127,923/x
  3. Step 3: Cross multiply
    95,020.50x = 127,923 × 127,923
  4. Step 4: Simplify right side
    95,020.50x = 16,364,293,929
  5. Step 5: Solve for x
    x = 16,364,293,929/95,020.50
  6. Step 6: Final answer
    x = 172,218.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.