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Finding the Third Proportional to 66,279 and 139,398

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Solution

The third proportional to 66,279 and 139,398 is: 293,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,279 : 139,398 = 139,398 : x
  2. Step 2: Convert to fraction form
    66,279/139,398 = 139,398/x
  3. Step 3: Cross multiply
    66,279x = 139,398 × 139,398
  4. Step 4: Simplify right side
    66,279x = 19,431,802,404
  5. Step 5: Solve for x
    x = 19,431,802,404/66,279
  6. Step 6: Final answer
    x = 293,181.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.