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Finding the Third Proportional to 126,610 and 196,827

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Solution

The third proportional to 126,610 and 196,827 is: 305,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,610 : 196,827 = 196,827 : x
  2. Step 2: Convert to fraction form
    126,610/196,827 = 196,827/x
  3. Step 3: Cross multiply
    126,610x = 196,827 × 196,827
  4. Step 4: Simplify right side
    126,610x = 38,740,867,929
  5. Step 5: Solve for x
    x = 38,740,867,929/126,610
  6. Step 6: Final answer
    x = 305,985.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.