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Finding the Third Proportional to 69,426.75 and 149,401.50

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Solution

The third proportional to 69,426.75 and 149,401.50 is: 321,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,426.75 : 149,401.50 = 149,401.50 : x
  2. Step 2: Convert to fraction form
    69,426.75/149,401.50 = 149,401.50/x
  3. Step 3: Cross multiply
    69,426.75x = 149,401.50 × 149,401.50
  4. Step 4: Simplify right side
    69,426.75x = 22,320,808,202.25
  5. Step 5: Solve for x
    x = 22,320,808,202.25/69,426.75
  6. Step 6: Final answer
    x = 321,501.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.