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Finding the Third Proportional to 68,278 and 142,006

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Solution

The third proportional to 68,278 and 142,006 is: 295,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,278 : 142,006 = 142,006 : x
  2. Step 2: Convert to fraction form
    68,278/142,006 = 142,006/x
  3. Step 3: Cross multiply
    68,278x = 142,006 × 142,006
  4. Step 4: Simplify right side
    68,278x = 20,165,704,036
  5. Step 5: Solve for x
    x = 20,165,704,036/68,278
  6. Step 6: Final answer
    x = 295,347.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.