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Finding the Third Proportional to 101,033.42 and 168,381.91

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Solution

The third proportional to 101,033.42 and 168,381.91 is: 280,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,033.42 : 168,381.91 = 168,381.91 : x
  2. Step 2: Convert to fraction form
    101,033.42/168,381.91 = 168,381.91/x
  3. Step 3: Cross multiply
    101,033.42x = 168,381.91 × 168,381.91
  4. Step 4: Simplify right side
    101,033.42x = 28,352,468,983.35
  5. Step 5: Solve for x
    x = 28,352,468,983.35/101,033.42
  6. Step 6: Final answer
    x = 280,624.66

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.