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Finding the Third Proportional to 111,943 and 188,002.50

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Solution

The third proportional to 111,943 and 188,002.50 is: 315,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,943 : 188,002.50 = 188,002.50 : x
  2. Step 2: Convert to fraction form
    111,943/188,002.50 = 188,002.50/x
  3. Step 3: Cross multiply
    111,943x = 188,002.50 × 188,002.50
  4. Step 4: Simplify right side
    111,943x = 35,344,940,006.25
  5. Step 5: Solve for x
    x = 35,344,940,006.25/111,943
  6. Step 6: Final answer
    x = 315,740.51

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.