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Finding the Third Proportional to 41,460 and 91,008

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Solution

The third proportional to 41,460 and 91,008 is: 199,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,460 : 91,008 = 91,008 : x
  2. Step 2: Convert to fraction form
    41,460/91,008 = 91,008/x
  3. Step 3: Cross multiply
    41,460x = 91,008 × 91,008
  4. Step 4: Simplify right side
    41,460x = 8,282,456,064
  5. Step 5: Solve for x
    x = 8,282,456,064/41,460
  6. Step 6: Final answer
    x = 199,769.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.