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Finding the Third Proportional to 76,531.50 and 162,168.75

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Solution

The third proportional to 76,531.50 and 162,168.75 is: 343,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,531.50 : 162,168.75 = 162,168.75 : x
  2. Step 2: Convert to fraction form
    76,531.50/162,168.75 = 162,168.75/x
  3. Step 3: Cross multiply
    76,531.50x = 162,168.75 × 162,168.75
  4. Step 4: Simplify right side
    76,531.50x = 26,298,703,476.56
  5. Step 5: Solve for x
    x = 26,298,703,476.56/76,531.50
  6. Step 6: Final answer
    x = 343,632.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.