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Finding the Third Proportional to 110,707 and 176,243

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Solution

The third proportional to 110,707 and 176,243 is: 280,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,707 : 176,243 = 176,243 : x
  2. Step 2: Convert to fraction form
    110,707/176,243 = 176,243/x
  3. Step 3: Cross multiply
    110,707x = 176,243 × 176,243
  4. Step 4: Simplify right side
    110,707x = 31,061,595,049
  5. Step 5: Solve for x
    x = 31,061,595,049/110,707
  6. Step 6: Final answer
    x = 280,574.81

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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.