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Finding the Third Proportional to 95,341 and 145,577

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Solution

The third proportional to 95,341 and 145,577 is: 222,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,341 : 145,577 = 145,577 : x
  2. Step 2: Convert to fraction form
    95,341/145,577 = 145,577/x
  3. Step 3: Cross multiply
    95,341x = 145,577 × 145,577
  4. Step 4: Simplify right side
    95,341x = 21,192,662,929
  5. Step 5: Solve for x
    x = 21,192,662,929/95,341
  6. Step 6: Final answer
    x = 222,282.78

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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.