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Finding the Third Proportional to 48,518 and 104,126

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Solution

The third proportional to 48,518 and 104,126 is: 223,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,518 : 104,126 = 104,126 : x
  2. Step 2: Convert to fraction form
    48,518/104,126 = 104,126/x
  3. Step 3: Cross multiply
    48,518x = 104,126 × 104,126
  4. Step 4: Simplify right side
    48,518x = 10,842,223,876
  5. Step 5: Solve for x
    x = 10,842,223,876/48,518
  6. Step 6: Final answer
    x = 223,468.07

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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.