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Finding the Third Proportional to 110,873 and 170,653

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Solution

The third proportional to 110,873 and 170,653 is: 262,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,873 : 170,653 = 170,653 : x
  2. Step 2: Convert to fraction form
    110,873/170,653 = 170,653/x
  3. Step 3: Cross multiply
    110,873x = 170,653 × 170,653
  4. Step 4: Simplify right side
    110,873x = 29,122,446,409
  5. Step 5: Solve for x
    x = 29,122,446,409/110,873
  6. Step 6: Final answer
    x = 262,664.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.