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Finding the Third Proportional to 45,884.75 and 101,596

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Solution

The third proportional to 45,884.75 and 101,596 is: 224,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,884.75 : 101,596 = 101,596 : x
  2. Step 2: Convert to fraction form
    45,884.75/101,596 = 101,596/x
  3. Step 3: Cross multiply
    45,884.75x = 101,596 × 101,596
  4. Step 4: Simplify right side
    45,884.75x = 10,321,747,216
  5. Step 5: Solve for x
    x = 10,321,747,216/45,884.75
  6. Step 6: Final answer
    x = 224,949.41

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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.