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Finding the Third Proportional to 47,766 and 102,580

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Solution

The third proportional to 47,766 and 102,580 is: 220,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,766 : 102,580 = 102,580 : x
  2. Step 2: Convert to fraction form
    47,766/102,580 = 102,580/x
  3. Step 3: Cross multiply
    47,766x = 102,580 × 102,580
  4. Step 4: Simplify right side
    47,766x = 10,522,656,400
  5. Step 5: Solve for x
    x = 10,522,656,400/47,766
  6. Step 6: Final answer
    x = 220,295.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.