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Finding the Third Proportional to 41,125 and 89,296.75

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Solution

The third proportional to 41,125 and 89,296.75 is: 193,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,125 : 89,296.75 = 89,296.75 : x
  2. Step 2: Convert to fraction form
    41,125/89,296.75 = 89,296.75/x
  3. Step 3: Cross multiply
    41,125x = 89,296.75 × 89,296.75
  4. Step 4: Simplify right side
    41,125x = 7,973,909,560.56
  5. Step 5: Solve for x
    x = 7,973,909,560.56/41,125
  6. Step 6: Final answer
    x = 193,894.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.