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Finding the Third Proportional to 95,626 and 147,471

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Solution

The third proportional to 95,626 and 147,471 is: 227,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,626 : 147,471 = 147,471 : x
  2. Step 2: Convert to fraction form
    95,626/147,471 = 147,471/x
  3. Step 3: Cross multiply
    95,626x = 147,471 × 147,471
  4. Step 4: Simplify right side
    95,626x = 21,747,695,841
  5. Step 5: Solve for x
    x = 21,747,695,841/95,626
  6. Step 6: Final answer
    x = 227,424.51

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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.