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Finding the Third Proportional to 109,217 and 173,661

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Solution

The third proportional to 109,217 and 173,661 is: 276,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,217 : 173,661 = 173,661 : x
  2. Step 2: Convert to fraction form
    109,217/173,661 = 173,661/x
  3. Step 3: Cross multiply
    109,217x = 173,661 × 173,661
  4. Step 4: Simplify right side
    109,217x = 30,158,142,921
  5. Step 5: Solve for x
    x = 30,158,142,921/109,217
  6. Step 6: Final answer
    x = 276,130.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.