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Finding the Third Proportional to 72,186 and 111,098

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Solution

The third proportional to 72,186 and 111,098 is: 170,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,186 : 111,098 = 111,098 : x
  2. Step 2: Convert to fraction form
    72,186/111,098 = 111,098/x
  3. Step 3: Cross multiply
    72,186x = 111,098 × 111,098
  4. Step 4: Simplify right side
    72,186x = 12,342,765,604
  5. Step 5: Solve for x
    x = 12,342,765,604/72,186
  6. Step 6: Final answer
    x = 170,985.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.