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Finding the Third Proportional to 68,264 and 139,930

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Solution

The third proportional to 68,264 and 139,930 is: 286,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,264 : 139,930 = 139,930 : x
  2. Step 2: Convert to fraction form
    68,264/139,930 = 139,930/x
  3. Step 3: Cross multiply
    68,264x = 139,930 × 139,930
  4. Step 4: Simplify right side
    68,264x = 19,580,404,900
  5. Step 5: Solve for x
    x = 19,580,404,900/68,264
  6. Step 6: Final answer
    x = 286,833.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.