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Finding the Third Proportional to 95,873 and 145,151

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Solution

The third proportional to 95,873 and 145,151 is: 219,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,873 : 145,151 = 145,151 : x
  2. Step 2: Convert to fraction form
    95,873/145,151 = 145,151/x
  3. Step 3: Cross multiply
    95,873x = 145,151 × 145,151
  4. Step 4: Simplify right side
    95,873x = 21,068,812,801
  5. Step 5: Solve for x
    x = 21,068,812,801/95,873
  6. Step 6: Final answer
    x = 219,757.52

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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.