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Finding the Third Proportional to 110,587 and 166,797

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Solution

The third proportional to 110,587 and 166,797 is: 251,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,587 : 166,797 = 166,797 : x
  2. Step 2: Convert to fraction form
    110,587/166,797 = 166,797/x
  3. Step 3: Cross multiply
    110,587x = 166,797 × 166,797
  4. Step 4: Simplify right side
    110,587x = 27,821,239,209
  5. Step 5: Solve for x
    x = 27,821,239,209/110,587
  6. Step 6: Final answer
    x = 251,577.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.