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Finding the Third Proportional to 110,971 and 173,895

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Solution

The third proportional to 110,971 and 173,895 is: 272,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,971 : 173,895 = 173,895 : x
  2. Step 2: Convert to fraction form
    110,971/173,895 = 173,895/x
  3. Step 3: Cross multiply
    110,971x = 173,895 × 173,895
  4. Step 4: Simplify right side
    110,971x = 30,239,471,025
  5. Step 5: Solve for x
    x = 30,239,471,025/110,971
  6. Step 6: Final answer
    x = 272,498.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.