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Finding the Third Proportional to 50,933 and 76,496

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Solution

The third proportional to 50,933 and 76,496 is: 114,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,933 : 76,496 = 76,496 : x
  2. Step 2: Convert to fraction form
    50,933/76,496 = 76,496/x
  3. Step 3: Cross multiply
    50,933x = 76,496 × 76,496
  4. Step 4: Simplify right side
    50,933x = 5,851,638,016
  5. Step 5: Solve for x
    x = 5,851,638,016/50,933
  6. Step 6: Final answer
    x = 114,888.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.