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Finding the Third Proportional to 66,327.61 and 149,724.07

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Solution

The third proportional to 66,327.61 and 149,724.07 is: 337,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,327.61 : 149,724.07 = 149,724.07 : x
  2. Step 2: Convert to fraction form
    66,327.61/149,724.07 = 149,724.07/x
  3. Step 3: Cross multiply
    66,327.61x = 149,724.07 × 149,724.07
  4. Step 4: Simplify right side
    66,327.61x = 22,417,297,230.94
  5. Step 5: Solve for x
    x = 22,417,297,230.94/66,327.61
  6. Step 6: Final answer
    x = 337,978.37

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.