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Finding the Third Proportional to 109,806 and 149,156

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Solution

The third proportional to 109,806 and 149,156 is: 202,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,806 : 149,156 = 149,156 : x
  2. Step 2: Convert to fraction form
    109,806/149,156 = 149,156/x
  3. Step 3: Cross multiply
    109,806x = 149,156 × 149,156
  4. Step 4: Simplify right side
    109,806x = 22,247,512,336
  5. Step 5: Solve for x
    x = 22,247,512,336/109,806
  6. Step 6: Final answer
    x = 202,607.44

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.