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Finding the Third Proportional to 59,201.50 and 126,827

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Solution

The third proportional to 59,201.50 and 126,827 is: 271,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,201.50 : 126,827 = 126,827 : x
  2. Step 2: Convert to fraction form
    59,201.50/126,827 = 126,827/x
  3. Step 3: Cross multiply
    59,201.50x = 126,827 × 126,827
  4. Step 4: Simplify right side
    59,201.50x = 16,085,087,929
  5. Step 5: Solve for x
    x = 16,085,087,929/59,201.50
  6. Step 6: Final answer
    x = 271,700.68

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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.