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Finding the Third Proportional to 50,207 and 108,679

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Solution

The third proportional to 50,207 and 108,679 is: 235,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,207 : 108,679 = 108,679 : x
  2. Step 2: Convert to fraction form
    50,207/108,679 = 108,679/x
  3. Step 3: Cross multiply
    50,207x = 108,679 × 108,679
  4. Step 4: Simplify right side
    50,207x = 11,811,125,041
  5. Step 5: Solve for x
    x = 11,811,125,041/50,207
  6. Step 6: Final answer
    x = 235,248.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.