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Finding the Third Proportional to 38,161.50 and 83,103

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Solution

The third proportional to 38,161.50 and 83,103 is: 180,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,161.50 : 83,103 = 83,103 : x
  2. Step 2: Convert to fraction form
    38,161.50/83,103 = 83,103/x
  3. Step 3: Cross multiply
    38,161.50x = 83,103 × 83,103
  4. Step 4: Simplify right side
    38,161.50x = 6,906,108,609
  5. Step 5: Solve for x
    x = 6,906,108,609/38,161.50
  6. Step 6: Final answer
    x = 180,970.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.