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Finding the Third Proportional to 50,964 and 108,903

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Solution

The third proportional to 50,964 and 108,903 is: 232,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,964 : 108,903 = 108,903 : x
  2. Step 2: Convert to fraction form
    50,964/108,903 = 108,903/x
  3. Step 3: Cross multiply
    50,964x = 108,903 × 108,903
  4. Step 4: Simplify right side
    50,964x = 11,859,863,409
  5. Step 5: Solve for x
    x = 11,859,863,409/50,964
  6. Step 6: Final answer
    x = 232,710.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.