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Finding the Third Proportional to 66,872.46 and 97,847.37

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Solution

The third proportional to 66,872.46 and 97,847.37 is: 143,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,872.46 : 97,847.37 = 97,847.37 : x
  2. Step 2: Convert to fraction form
    66,872.46/97,847.37 = 97,847.37/x
  3. Step 3: Cross multiply
    66,872.46x = 97,847.37 × 97,847.37
  4. Step 4: Simplify right side
    66,872.46x = 9,574,107,265.53
  5. Step 5: Solve for x
    x = 9,574,107,265.53/66,872.46
  6. Step 6: Final answer
    x = 143,169.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.