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Finding the Third Proportional to 50,471 and 109,303

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Solution

The third proportional to 50,471 and 109,303 is: 236,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471 : 109,303 = 109,303 : x
  2. Step 2: Convert to fraction form
    50,471/109,303 = 109,303/x
  3. Step 3: Cross multiply
    50,471x = 109,303 × 109,303
  4. Step 4: Simplify right side
    50,471x = 11,947,145,809
  5. Step 5: Solve for x
    x = 11,947,145,809/50,471
  6. Step 6: Final answer
    x = 236,713.08

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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.