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Finding the Third Proportional to 66,474.56 and 99,761.06

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Solution

The third proportional to 66,474.56 and 99,761.06 is: 149,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474.56 : 99,761.06 = 99,761.06 : x
  2. Step 2: Convert to fraction form
    66,474.56/99,761.06 = 99,761.06/x
  3. Step 3: Cross multiply
    66,474.56x = 99,761.06 × 99,761.06
  4. Step 4: Simplify right side
    66,474.56x = 9,952,269,591.13
  5. Step 5: Solve for x
    x = 9,952,269,591.13/66,474.56
  6. Step 6: Final answer
    x = 149,715.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.