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Finding the Third Proportional to 109,244 and 149,509

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Solution

The third proportional to 109,244 and 149,509 is: 204,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,244 : 149,509 = 149,509 : x
  2. Step 2: Convert to fraction form
    109,244/149,509 = 149,509/x
  3. Step 3: Cross multiply
    109,244x = 149,509 × 149,509
  4. Step 4: Simplify right side
    109,244x = 22,352,941,081
  5. Step 5: Solve for x
    x = 22,352,941,081/109,244
  6. Step 6: Final answer
    x = 204,614.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.