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Finding the Third Proportional to 41,631 and 91,047

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Solution

The third proportional to 41,631 and 91,047 is: 199,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,631 : 91,047 = 91,047 : x
  2. Step 2: Convert to fraction form
    41,631/91,047 = 91,047/x
  3. Step 3: Cross multiply
    41,631x = 91,047 × 91,047
  4. Step 4: Simplify right side
    41,631x = 8,289,556,209
  5. Step 5: Solve for x
    x = 8,289,556,209/41,631
  6. Step 6: Final answer
    x = 199,119.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.