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Finding the Third Proportional to 107,089.50 and 142,150.50

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Solution

The third proportional to 107,089.50 and 142,150.50 is: 188,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,089.50 : 142,150.50 = 142,150.50 : x
  2. Step 2: Convert to fraction form
    107,089.50/142,150.50 = 142,150.50/x
  3. Step 3: Cross multiply
    107,089.50x = 142,150.50 × 142,150.50
  4. Step 4: Simplify right side
    107,089.50x = 20,206,764,650.25
  5. Step 5: Solve for x
    x = 20,206,764,650.25/107,089.50
  6. Step 6: Final answer
    x = 188,690.44

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.