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Finding the Third Proportional to 67,565 and 146,667

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Solution

The third proportional to 67,565 and 146,667 is: 318,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,565 : 146,667 = 146,667 : x
  2. Step 2: Convert to fraction form
    67,565/146,667 = 146,667/x
  3. Step 3: Cross multiply
    67,565x = 146,667 × 146,667
  4. Step 4: Simplify right side
    67,565x = 21,511,208,889
  5. Step 5: Solve for x
    x = 21,511,208,889/67,565
  6. Step 6: Final answer
    x = 318,377.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.