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Finding the Third Proportional to 50,429.75 and 109,730.75

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Solution

The third proportional to 50,429.75 and 109,730.75 is: 238,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,429.75 : 109,730.75 = 109,730.75 : x
  2. Step 2: Convert to fraction form
    50,429.75/109,730.75 = 109,730.75/x
  3. Step 3: Cross multiply
    50,429.75x = 109,730.75 × 109,730.75
  4. Step 4: Simplify right side
    50,429.75x = 12,040,837,495.56
  5. Step 5: Solve for x
    x = 12,040,837,495.56/50,429.75
  6. Step 6: Final answer
    x = 238,764.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.