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Finding the Third Proportional to 72,192 and 111,107

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Solution

The third proportional to 72,192 and 111,107 is: 170,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,192 : 111,107 = 111,107 : x
  2. Step 2: Convert to fraction form
    72,192/111,107 = 111,107/x
  3. Step 3: Cross multiply
    72,192x = 111,107 × 111,107
  4. Step 4: Simplify right side
    72,192x = 12,344,765,449
  5. Step 5: Solve for x
    x = 12,344,765,449/72,192
  6. Step 6: Final answer
    x = 170,999.08

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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.