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Finding the Third Proportional to 41,803 and 89,275

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Solution

The third proportional to 41,803 and 89,275 is: 190,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,803 : 89,275 = 89,275 : x
  2. Step 2: Convert to fraction form
    41,803/89,275 = 89,275/x
  3. Step 3: Cross multiply
    41,803x = 89,275 × 89,275
  4. Step 4: Simplify right side
    41,803x = 7,970,025,625
  5. Step 5: Solve for x
    x = 7,970,025,625/41,803
  6. Step 6: Final answer
    x = 190,656.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.