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Finding the Third Proportional to 50,169 and 108,977

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Solution

The third proportional to 50,169 and 108,977 is: 236,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,169 : 108,977 = 108,977 : x
  2. Step 2: Convert to fraction form
    50,169/108,977 = 108,977/x
  3. Step 3: Cross multiply
    50,169x = 108,977 × 108,977
  4. Step 4: Simplify right side
    50,169x = 11,875,986,529
  5. Step 5: Solve for x
    x = 11,875,986,529/50,169
  6. Step 6: Final answer
    x = 236,719.62

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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.