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Finding the Third Proportional to 110,427 and 171,306

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Solution

The third proportional to 110,427 and 171,306 is: 265,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,427 : 171,306 = 171,306 : x
  2. Step 2: Convert to fraction form
    110,427/171,306 = 171,306/x
  3. Step 3: Cross multiply
    110,427x = 171,306 × 171,306
  4. Step 4: Simplify right side
    110,427x = 29,345,745,636
  5. Step 5: Solve for x
    x = 29,345,745,636/110,427
  6. Step 6: Final answer
    x = 265,747.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.