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Finding the Third Proportional to 68,245 and 147,667

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Solution

The third proportional to 68,245 and 147,667 is: 319,518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,245 : 147,667 = 147,667 : x
  2. Step 2: Convert to fraction form
    68,245/147,667 = 147,667/x
  3. Step 3: Cross multiply
    68,245x = 147,667 × 147,667
  4. Step 4: Simplify right side
    68,245x = 21,805,542,889
  5. Step 5: Solve for x
    x = 21,805,542,889/68,245
  6. Step 6: Final answer
    x = 319,518.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.