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Finding the Third Proportional to 50,302 and 109,271

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Solution

The third proportional to 50,302 and 109,271 is: 237,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,302 : 109,271 = 109,271 : x
  2. Step 2: Convert to fraction form
    50,302/109,271 = 109,271/x
  3. Step 3: Cross multiply
    50,302x = 109,271 × 109,271
  4. Step 4: Simplify right side
    50,302x = 11,940,151,441
  5. Step 5: Solve for x
    x = 11,940,151,441/50,302
  6. Step 6: Final answer
    x = 237,369.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.