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Finding the Third Proportional to 110,892 and 172,029

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Solution

The third proportional to 110,892 and 172,029 is: 266,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,892 : 172,029 = 172,029 : x
  2. Step 2: Convert to fraction form
    110,892/172,029 = 172,029/x
  3. Step 3: Cross multiply
    110,892x = 172,029 × 172,029
  4. Step 4: Simplify right side
    110,892x = 29,593,976,841
  5. Step 5: Solve for x
    x = 29,593,976,841/110,892
  6. Step 6: Final answer
    x = 266,872.06

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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.