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Finding the Third Proportional to 68,314 and 140,030

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Solution

The third proportional to 68,314 and 140,030 is: 287,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,314 : 140,030 = 140,030 : x
  2. Step 2: Convert to fraction form
    68,314/140,030 = 140,030/x
  3. Step 3: Cross multiply
    68,314x = 140,030 × 140,030
  4. Step 4: Simplify right side
    68,314x = 19,608,400,900
  5. Step 5: Solve for x
    x = 19,608,400,900/68,314
  6. Step 6: Final answer
    x = 287,033.42

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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.