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Finding the Third Proportional to 102,542 and 225,246

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Solution

The third proportional to 102,542 and 225,246 is: 494,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,542 : 225,246 = 225,246 : x
  2. Step 2: Convert to fraction form
    102,542/225,246 = 225,246/x
  3. Step 3: Cross multiply
    102,542x = 225,246 × 225,246
  4. Step 4: Simplify right side
    102,542x = 50,735,760,516
  5. Step 5: Solve for x
    x = 50,735,760,516/102,542
  6. Step 6: Final answer
    x = 494,780.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.