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Finding the Third Proportional to 109,832 and 149,172

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Solution

The third proportional to 109,832 and 149,172 is: 202,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,832 : 149,172 = 149,172 : x
  2. Step 2: Convert to fraction form
    109,832/149,172 = 149,172/x
  3. Step 3: Cross multiply
    109,832x = 149,172 × 149,172
  4. Step 4: Simplify right side
    109,832x = 22,252,285,584
  5. Step 5: Solve for x
    x = 22,252,285,584/109,832
  6. Step 6: Final answer
    x = 202,602.94

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Why These Related Problems?

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