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Finding the Third Proportional to 110,215 and 164,895

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Solution

The third proportional to 110,215 and 164,895 is: 246,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,215 : 164,895 = 164,895 : x
  2. Step 2: Convert to fraction form
    110,215/164,895 = 164,895/x
  3. Step 3: Cross multiply
    110,215x = 164,895 × 164,895
  4. Step 4: Simplify right side
    110,215x = 27,190,361,025
  5. Step 5: Solve for x
    x = 27,190,361,025/110,215
  6. Step 6: Final answer
    x = 246,702.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.