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Finding the Third Proportional to 95,439 and 215,623

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Solution

The third proportional to 95,439 and 215,623 is: 487,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,439 : 215,623 = 215,623 : x
  2. Step 2: Convert to fraction form
    95,439/215,623 = 215,623/x
  3. Step 3: Cross multiply
    95,439x = 215,623 × 215,623
  4. Step 4: Simplify right side
    95,439x = 46,493,278,129
  5. Step 5: Solve for x
    x = 46,493,278,129/95,439
  6. Step 6: Final answer
    x = 487,151.77

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.