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Finding the Third Proportional to 135,472.92 and 210,963.23

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Solution

The third proportional to 135,472.92 and 210,963.23 is: 328,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,472.92 : 210,963.23 = 210,963.23 : x
  2. Step 2: Convert to fraction form
    135,472.92/210,963.23 = 210,963.23/x
  3. Step 3: Cross multiply
    135,472.92x = 210,963.23 × 210,963.23
  4. Step 4: Simplify right side
    135,472.92x = 44,505,486,257.96
  5. Step 5: Solve for x
    x = 44,505,486,257.96/135,472.92
  6. Step 6: Final answer
    x = 328,519.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.