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Finding the Third Proportional to 82,200.50 and 179,621

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Solution

The third proportional to 82,200.50 and 179,621 is: 392,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,200.50 : 179,621 = 179,621 : x
  2. Step 2: Convert to fraction form
    82,200.50/179,621 = 179,621/x
  3. Step 3: Cross multiply
    82,200.50x = 179,621 × 179,621
  4. Step 4: Simplify right side
    82,200.50x = 32,263,703,641
  5. Step 5: Solve for x
    x = 32,263,703,641/82,200.50
  6. Step 6: Final answer
    x = 392,500.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.