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Finding the Third Proportional to 52,120.50 and 113,650.50

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Solution

The third proportional to 52,120.50 and 113,650.50 is: 247,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,120.50 : 113,650.50 = 113,650.50 : x
  2. Step 2: Convert to fraction form
    52,120.50/113,650.50 = 113,650.50/x
  3. Step 3: Cross multiply
    52,120.50x = 113,650.50 × 113,650.50
  4. Step 4: Simplify right side
    52,120.50x = 12,916,436,150.25
  5. Step 5: Solve for x
    x = 12,916,436,150.25/52,120.50
  6. Step 6: Final answer
    x = 247,818.73

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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.