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Finding the Third Proportional to 71,324.50 and 110,380

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Solution

The third proportional to 71,324.50 and 110,380 is: 170,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,324.50 : 110,380 = 110,380 : x
  2. Step 2: Convert to fraction form
    71,324.50/110,380 = 110,380/x
  3. Step 3: Cross multiply
    71,324.50x = 110,380 × 110,380
  4. Step 4: Simplify right side
    71,324.50x = 12,183,744,400
  5. Step 5: Solve for x
    x = 12,183,744,400/71,324.50
  6. Step 6: Final answer
    x = 170,821.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.