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Finding the Third Proportional to 50,357 and 104,354

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Solution

The third proportional to 50,357 and 104,354 is: 216,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,357 : 104,354 = 104,354 : x
  2. Step 2: Convert to fraction form
    50,357/104,354 = 104,354/x
  3. Step 3: Cross multiply
    50,357x = 104,354 × 104,354
  4. Step 4: Simplify right side
    50,357x = 10,889,757,316
  5. Step 5: Solve for x
    x = 10,889,757,316/50,357
  6. Step 6: Final answer
    x = 216,251.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.