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Finding the Third Proportional to 105,538 and 167,110

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Solution

The third proportional to 105,538 and 167,110 is: 264,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,538 : 167,110 = 167,110 : x
  2. Step 2: Convert to fraction form
    105,538/167,110 = 167,110/x
  3. Step 3: Cross multiply
    105,538x = 167,110 × 167,110
  4. Step 4: Simplify right side
    105,538x = 27,925,752,100
  5. Step 5: Solve for x
    x = 27,925,752,100/105,538
  6. Step 6: Final answer
    x = 264,603.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.