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Finding the Third Proportional to 66,016 and 144,074

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Solution

The third proportional to 66,016 and 144,074 is: 314,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,016 : 144,074 = 144,074 : x
  2. Step 2: Convert to fraction form
    66,016/144,074 = 144,074/x
  3. Step 3: Cross multiply
    66,016x = 144,074 × 144,074
  4. Step 4: Simplify right side
    66,016x = 20,757,317,476
  5. Step 5: Solve for x
    x = 20,757,317,476/66,016
  6. Step 6: Final answer
    x = 314,428.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.