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Finding the Third Proportional to 62,920 and 95,186

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Solution

The third proportional to 62,920 and 95,186 is: 143,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,920 : 95,186 = 95,186 : x
  2. Step 2: Convert to fraction form
    62,920/95,186 = 95,186/x
  3. Step 3: Cross multiply
    62,920x = 95,186 × 95,186
  4. Step 4: Simplify right side
    62,920x = 9,060,374,596
  5. Step 5: Solve for x
    x = 9,060,374,596/62,920
  6. Step 6: Final answer
    x = 143,998.32

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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.