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Finding the Third Proportional to 111,931.50 and 155,137.50

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Solution

The third proportional to 111,931.50 and 155,137.50 is: 215,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,931.50 : 155,137.50 = 155,137.50 : x
  2. Step 2: Convert to fraction form
    111,931.50/155,137.50 = 155,137.50/x
  3. Step 3: Cross multiply
    111,931.50x = 155,137.50 × 155,137.50
  4. Step 4: Simplify right side
    111,931.50x = 24,067,643,906.25
  5. Step 5: Solve for x
    x = 24,067,643,906.25/111,931.50
  6. Step 6: Final answer
    x = 215,021.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.