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Finding the Third Proportional to 95,877 and 146,643.75

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Solution

The third proportional to 95,877 and 146,643.75 is: 224,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,877 : 146,643.75 = 146,643.75 : x
  2. Step 2: Convert to fraction form
    95,877/146,643.75 = 146,643.75/x
  3. Step 3: Cross multiply
    95,877x = 146,643.75 × 146,643.75
  4. Step 4: Simplify right side
    95,877x = 21,504,389,414.06
  5. Step 5: Solve for x
    x = 21,504,389,414.06/95,877
  6. Step 6: Final answer
    x = 224,291.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.