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Finding the Third Proportional to 62,194 and 146,186

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Solution

The third proportional to 62,194 and 146,186 is: 343,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,194 : 146,186 = 146,186 : x
  2. Step 2: Convert to fraction form
    62,194/146,186 = 146,186/x
  3. Step 3: Cross multiply
    62,194x = 146,186 × 146,186
  4. Step 4: Simplify right side
    62,194x = 21,370,346,596
  5. Step 5: Solve for x
    x = 21,370,346,596/62,194
  6. Step 6: Final answer
    x = 343,607.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.