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Finding the Third Proportional to 59,022.84 and 126,467.30

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Solution

The third proportional to 59,022.84 and 126,467.30 is: 270,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,022.84 : 126,467.30 = 126,467.30 : x
  2. Step 2: Convert to fraction form
    59,022.84/126,467.30 = 126,467.30/x
  3. Step 3: Cross multiply
    59,022.84x = 126,467.30 × 126,467.30
  4. Step 4: Simplify right side
    59,022.84x = 15,993,977,178.87
  5. Step 5: Solve for x
    x = 15,993,977,178.87/59,022.84
  6. Step 6: Final answer
    x = 270,979.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.