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Finding the Third Proportional to 50,481 and 110,754

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Solution

The third proportional to 50,481 and 110,754 is: 242,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,481 : 110,754 = 110,754 : x
  2. Step 2: Convert to fraction form
    50,481/110,754 = 110,754/x
  3. Step 3: Cross multiply
    50,481x = 110,754 × 110,754
  4. Step 4: Simplify right side
    50,481x = 12,266,448,516
  5. Step 5: Solve for x
    x = 12,266,448,516/50,481
  6. Step 6: Final answer
    x = 242,991.39

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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.