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Finding the Third Proportional to 107,500.50 and 150,355.50

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Solution

The third proportional to 107,500.50 and 150,355.50 is: 210,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,500.50 : 150,355.50 = 150,355.50 : x
  2. Step 2: Convert to fraction form
    107,500.50/150,355.50 = 150,355.50/x
  3. Step 3: Cross multiply
    107,500.50x = 150,355.50 × 150,355.50
  4. Step 4: Simplify right side
    107,500.50x = 22,606,776,380.25
  5. Step 5: Solve for x
    x = 22,606,776,380.25/107,500.50
  6. Step 6: Final answer
    x = 210,294.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.