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Finding the Third Proportional to 95,854 and 145,122

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Solution

The third proportional to 95,854 and 145,122 is: 219,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,854 : 145,122 = 145,122 : x
  2. Step 2: Convert to fraction form
    95,854/145,122 = 145,122/x
  3. Step 3: Cross multiply
    95,854x = 145,122 × 145,122
  4. Step 4: Simplify right side
    95,854x = 21,060,394,884
  5. Step 5: Solve for x
    x = 21,060,394,884/95,854
  6. Step 6: Final answer
    x = 219,713.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.