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Finding the Third Proportional to 75,396 and 110,802

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Solution

The third proportional to 75,396 and 110,802 is: 162,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,396 : 110,802 = 110,802 : x
  2. Step 2: Convert to fraction form
    75,396/110,802 = 110,802/x
  3. Step 3: Cross multiply
    75,396x = 110,802 × 110,802
  4. Step 4: Simplify right side
    75,396x = 12,277,083,204
  5. Step 5: Solve for x
    x = 12,277,083,204/75,396
  6. Step 6: Final answer
    x = 162,834.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.