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Finding the Third Proportional to 109,884 and 164,754

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Solution

The third proportional to 109,884 and 164,754 is: 247,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,884 : 164,754 = 164,754 : x
  2. Step 2: Convert to fraction form
    109,884/164,754 = 164,754/x
  3. Step 3: Cross multiply
    109,884x = 164,754 × 164,754
  4. Step 4: Simplify right side
    109,884x = 27,143,880,516
  5. Step 5: Solve for x
    x = 27,143,880,516/109,884
  6. Step 6: Final answer
    x = 247,023.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.