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Finding the Third Proportional to 68,107.50 and 111,493.13

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Solution

The third proportional to 68,107.50 and 111,493.13 is: 182,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,107.50 : 111,493.13 = 111,493.13 : x
  2. Step 2: Convert to fraction form
    68,107.50/111,493.13 = 111,493.13/x
  3. Step 3: Cross multiply
    68,107.50x = 111,493.13 × 111,493.13
  4. Step 4: Simplify right side
    68,107.50x = 12,430,716,922.27
  5. Step 5: Solve for x
    x = 12,430,716,922.27/68,107.50
  6. Step 6: Final answer
    x = 182,516.12

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.