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Finding the Third Proportional to 63,169.50 and 136,131

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Solution

The third proportional to 63,169.50 and 136,131 is: 293,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,169.50 : 136,131 = 136,131 : x
  2. Step 2: Convert to fraction form
    63,169.50/136,131 = 136,131/x
  3. Step 3: Cross multiply
    63,169.50x = 136,131 × 136,131
  4. Step 4: Simplify right side
    63,169.50x = 18,531,649,161
  5. Step 5: Solve for x
    x = 18,531,649,161/63,169.50
  6. Step 6: Final answer
    x = 293,363.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.