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Finding the Third Proportional to 78,885 and 168,981

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Solution

The third proportional to 78,885 and 168,981 is: 361,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,885 : 168,981 = 168,981 : x
  2. Step 2: Convert to fraction form
    78,885/168,981 = 168,981/x
  3. Step 3: Cross multiply
    78,885x = 168,981 × 168,981
  4. Step 4: Simplify right side
    78,885x = 28,554,578,361
  5. Step 5: Solve for x
    x = 28,554,578,361/78,885
  6. Step 6: Final answer
    x = 361,977.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.