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Finding the Third Proportional to 52,105.50 and 112,111

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Solution

The third proportional to 52,105.50 and 112,111 is: 241,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.50 : 112,111 = 112,111 : x
  2. Step 2: Convert to fraction form
    52,105.50/112,111 = 112,111/x
  3. Step 3: Cross multiply
    52,105.50x = 112,111 × 112,111
  4. Step 4: Simplify right side
    52,105.50x = 12,568,876,321
  5. Step 5: Solve for x
    x = 12,568,876,321/52,105.50
  6. Step 6: Final answer
    x = 241,219.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.