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Finding the Third Proportional to 110,707 and 176,241

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Solution

The third proportional to 110,707 and 176,241 is: 280,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,707 : 176,241 = 176,241 : x
  2. Step 2: Convert to fraction form
    110,707/176,241 = 176,241/x
  3. Step 3: Cross multiply
    110,707x = 176,241 × 176,241
  4. Step 4: Simplify right side
    110,707x = 31,060,890,081
  5. Step 5: Solve for x
    x = 31,060,890,081/110,707
  6. Step 6: Final answer
    x = 280,568.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.