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Finding the Third Proportional to 48,221.85 and 75,093.76

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Solution

The third proportional to 48,221.85 and 75,093.76 is: 116,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,221.85 : 75,093.76 = 75,093.76 : x
  2. Step 2: Convert to fraction form
    48,221.85/75,093.76 = 75,093.76/x
  3. Step 3: Cross multiply
    48,221.85x = 75,093.76 × 75,093.76
  4. Step 4: Simplify right side
    48,221.85x = 5,639,073,269.07
  5. Step 5: Solve for x
    x = 5,639,073,269.07/48,221.85
  6. Step 6: Final answer
    x = 116,940.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.