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Finding the Third Proportional to 95,163 and 148,191.75

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Solution

The third proportional to 95,163 and 148,191.75 is: 230,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,163 : 148,191.75 = 148,191.75 : x
  2. Step 2: Convert to fraction form
    95,163/148,191.75 = 148,191.75/x
  3. Step 3: Cross multiply
    95,163x = 148,191.75 × 148,191.75
  4. Step 4: Simplify right side
    95,163x = 21,960,794,768.06
  5. Step 5: Solve for x
    x = 21,960,794,768.06/95,163
  6. Step 6: Final answer
    x = 230,770.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.