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Finding the Third Proportional to 48,340 and 102,488

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Solution

The third proportional to 48,340 and 102,488 is: 217,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,340 : 102,488 = 102,488 : x
  2. Step 2: Convert to fraction form
    48,340/102,488 = 102,488/x
  3. Step 3: Cross multiply
    48,340x = 102,488 × 102,488
  4. Step 4: Simplify right side
    48,340x = 10,503,790,144
  5. Step 5: Solve for x
    x = 10,503,790,144/48,340
  6. Step 6: Final answer
    x = 217,289.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.