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Finding the Third Proportional to 66,080 and 94,198

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Solution

The third proportional to 66,080 and 94,198 is: 134,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,080 : 94,198 = 94,198 : x
  2. Step 2: Convert to fraction form
    66,080/94,198 = 94,198/x
  3. Step 3: Cross multiply
    66,080x = 94,198 × 94,198
  4. Step 4: Simplify right side
    66,080x = 8,873,263,204
  5. Step 5: Solve for x
    x = 8,873,263,204/66,080
  6. Step 6: Final answer
    x = 134,280.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.