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Finding the Third Proportional to 41,360 and 89,272

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Solution

The third proportional to 41,360 and 89,272 is: 192,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,360 : 89,272 = 89,272 : x
  2. Step 2: Convert to fraction form
    41,360/89,272 = 89,272/x
  3. Step 3: Cross multiply
    41,360x = 89,272 × 89,272
  4. Step 4: Simplify right side
    41,360x = 7,969,489,984
  5. Step 5: Solve for x
    x = 7,969,489,984/41,360
  6. Step 6: Final answer
    x = 192,685.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.