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Finding the Third Proportional to 62,163 and 95,391

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Solution

The third proportional to 62,163 and 95,391 is: 146,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,163 : 95,391 = 95,391 : x
  2. Step 2: Convert to fraction form
    62,163/95,391 = 95,391/x
  3. Step 3: Cross multiply
    62,163x = 95,391 × 95,391
  4. Step 4: Simplify right side
    62,163x = 9,099,442,881
  5. Step 5: Solve for x
    x = 9,099,442,881/62,163
  6. Step 6: Final answer
    x = 146,380.37

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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.