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Finding the Third Proportional to 75,622 and 111,246

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Solution

The third proportional to 75,622 and 111,246 is: 163,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,622 : 111,246 = 111,246 : x
  2. Step 2: Convert to fraction form
    75,622/111,246 = 111,246/x
  3. Step 3: Cross multiply
    75,622x = 111,246 × 111,246
  4. Step 4: Simplify right side
    75,622x = 12,375,672,516
  5. Step 5: Solve for x
    x = 12,375,672,516/75,622
  6. Step 6: Final answer
    x = 163,651.75

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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.