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Finding the Third Proportional to 110,900 and 170,634

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Solution

The third proportional to 110,900 and 170,634 is: 262,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,900 : 170,634 = 170,634 : x
  2. Step 2: Convert to fraction form
    110,900/170,634 = 170,634/x
  3. Step 3: Cross multiply
    110,900x = 170,634 × 170,634
  4. Step 4: Simplify right side
    110,900x = 29,115,961,956
  5. Step 5: Solve for x
    x = 29,115,961,956/110,900
  6. Step 6: Final answer
    x = 262,542.49

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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.