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Finding the Third Proportional to 51,933 and 113,481

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Solution

The third proportional to 51,933 and 113,481 is: 247,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,933 : 113,481 = 113,481 : x
  2. Step 2: Convert to fraction form
    51,933/113,481 = 113,481/x
  3. Step 3: Cross multiply
    51,933x = 113,481 × 113,481
  4. Step 4: Simplify right side
    51,933x = 12,877,937,361
  5. Step 5: Solve for x
    x = 12,877,937,361/51,933
  6. Step 6: Final answer
    x = 247,972.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.