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Finding the Third Proportional to 110,556 and 166,758

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Solution

The third proportional to 110,556 and 166,758 is: 251,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,556 : 166,758 = 166,758 : x
  2. Step 2: Convert to fraction form
    110,556/166,758 = 166,758/x
  3. Step 3: Cross multiply
    110,556x = 166,758 × 166,758
  4. Step 4: Simplify right side
    110,556x = 27,808,230,564
  5. Step 5: Solve for x
    x = 27,808,230,564/110,556
  6. Step 6: Final answer
    x = 251,530.72

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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.