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Finding the Third Proportional to 108,057.80 and 173,619.70

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Solution

The third proportional to 108,057.80 and 173,619.70 is: 278,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,057.80 : 173,619.70 = 173,619.70 : x
  2. Step 2: Convert to fraction form
    108,057.80/173,619.70 = 173,619.70/x
  3. Step 3: Cross multiply
    108,057.80x = 173,619.70 × 173,619.70
  4. Step 4: Simplify right side
    108,057.80x = 30,143,801,313.21
  5. Step 5: Solve for x
    x = 30,143,801,313.21/108,057.80
  6. Step 6: Final answer
    x = 278,959.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.