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Finding the Third Proportional to 127,206 and 197,811

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Solution

The third proportional to 127,206 and 197,811 is: 307,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,206 : 197,811 = 197,811 : x
  2. Step 2: Convert to fraction form
    127,206/197,811 = 197,811/x
  3. Step 3: Cross multiply
    127,206x = 197,811 × 197,811
  4. Step 4: Simplify right side
    127,206x = 39,129,191,721
  5. Step 5: Solve for x
    x = 39,129,191,721/127,206
  6. Step 6: Final answer
    x = 307,604.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.