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Finding the Third Proportional to 80,206.69 and 174,123.11

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Solution

The third proportional to 80,206.69 and 174,123.11 is: 378,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,206.69 : 174,123.11 = 174,123.11 : x
  2. Step 2: Convert to fraction form
    80,206.69/174,123.11 = 174,123.11/x
  3. Step 3: Cross multiply
    80,206.69x = 174,123.11 × 174,123.11
  4. Step 4: Simplify right side
    80,206.69x = 30,318,855,858.08
  5. Step 5: Solve for x
    x = 30,318,855,858.08/80,206.69
  6. Step 6: Final answer
    x = 378,009.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.