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Finding the Third Proportional to 48,416.25 and 106,620

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Solution

The third proportional to 48,416.25 and 106,620 is: 234,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,416.25 : 106,620 = 106,620 : x
  2. Step 2: Convert to fraction form
    48,416.25/106,620 = 106,620/x
  3. Step 3: Cross multiply
    48,416.25x = 106,620 × 106,620
  4. Step 4: Simplify right side
    48,416.25x = 11,367,824,400
  5. Step 5: Solve for x
    x = 11,367,824,400/48,416.25
  6. Step 6: Final answer
    x = 234,793.57

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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.