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Finding the Third Proportional to 59,203.50 and 126,831

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Solution

The third proportional to 59,203.50 and 126,831 is: 271,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,203.50 : 126,831 = 126,831 : x
  2. Step 2: Convert to fraction form
    59,203.50/126,831 = 126,831/x
  3. Step 3: Cross multiply
    59,203.50x = 126,831 × 126,831
  4. Step 4: Simplify right side
    59,203.50x = 16,086,102,561
  5. Step 5: Solve for x
    x = 16,086,102,561/59,203.50
  6. Step 6: Final answer
    x = 271,708.64

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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.