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Finding the Third Proportional to 67,169 and 146,398

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Solution

The third proportional to 67,169 and 146,398 is: 319,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,169 : 146,398 = 146,398 : x
  2. Step 2: Convert to fraction form
    67,169/146,398 = 146,398/x
  3. Step 3: Cross multiply
    67,169x = 146,398 × 146,398
  4. Step 4: Simplify right side
    67,169x = 21,432,374,404
  5. Step 5: Solve for x
    x = 21,432,374,404/67,169
  6. Step 6: Final answer
    x = 319,081.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.