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Finding the Third Proportional to 110,596 and 165,894

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Solution

The third proportional to 110,596 and 165,894 is: 248,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,596 : 165,894 = 165,894 : x
  2. Step 2: Convert to fraction form
    110,596/165,894 = 165,894/x
  3. Step 3: Cross multiply
    110,596x = 165,894 × 165,894
  4. Step 4: Simplify right side
    110,596x = 27,520,819,236
  5. Step 5: Solve for x
    x = 27,520,819,236/110,596
  6. Step 6: Final answer
    x = 248,841

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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.