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Finding the Third Proportional to 50,000 and 106,364

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Solution

The third proportional to 50,000 and 106,364 is: 226,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,000 : 106,364 = 106,364 : x
  2. Step 2: Convert to fraction form
    50,000/106,364 = 106,364/x
  3. Step 3: Cross multiply
    50,000x = 106,364 × 106,364
  4. Step 4: Simplify right side
    50,000x = 11,313,300,496
  5. Step 5: Solve for x
    x = 11,313,300,496/50,000
  6. Step 6: Final answer
    x = 226,266.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.