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Finding the Third Proportional to 43,805 and 66,254

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Solution

The third proportional to 43,805 and 66,254 is: 100,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,805 : 66,254 = 66,254 : x
  2. Step 2: Convert to fraction form
    43,805/66,254 = 66,254/x
  3. Step 3: Cross multiply
    43,805x = 66,254 × 66,254
  4. Step 4: Simplify right side
    43,805x = 4,389,592,516
  5. Step 5: Solve for x
    x = 4,389,592,516/43,805
  6. Step 6: Final answer
    x = 100,207.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.