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Finding the Third Proportional to 41,913 and 91,224

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Solution

The third proportional to 41,913 and 91,224 is: 198,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,913 : 91,224 = 91,224 : x
  2. Step 2: Convert to fraction form
    41,913/91,224 = 91,224/x
  3. Step 3: Cross multiply
    41,913x = 91,224 × 91,224
  4. Step 4: Simplify right side
    41,913x = 8,321,818,176
  5. Step 5: Solve for x
    x = 8,321,818,176/41,913
  6. Step 6: Final answer
    x = 198,549.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.