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Finding the Third Proportional to 45,961.88 and 101,763

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Solution

The third proportional to 45,961.88 and 101,763 is: 225,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,961.88 : 101,763 = 101,763 : x
  2. Step 2: Convert to fraction form
    45,961.88/101,763 = 101,763/x
  3. Step 3: Cross multiply
    45,961.88x = 101,763 × 101,763
  4. Step 4: Simplify right side
    45,961.88x = 10,355,708,169
  5. Step 5: Solve for x
    x = 10,355,708,169/45,961.88
  6. Step 6: Final answer
    x = 225,310.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.