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Finding the Third Proportional to 109,216 and 173,662

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Solution

The third proportional to 109,216 and 173,662 is: 276,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,216 : 173,662 = 173,662 : x
  2. Step 2: Convert to fraction form
    109,216/173,662 = 173,662/x
  3. Step 3: Cross multiply
    109,216x = 173,662 × 173,662
  4. Step 4: Simplify right side
    109,216x = 30,158,490,244
  5. Step 5: Solve for x
    x = 30,158,490,244/109,216
  6. Step 6: Final answer
    x = 276,136.19

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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.