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Finding the Third Proportional to 126,954 and 197,210

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Solution

The third proportional to 126,954 and 197,210 is: 306,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,954 : 197,210 = 197,210 : x
  2. Step 2: Convert to fraction form
    126,954/197,210 = 197,210/x
  3. Step 3: Cross multiply
    126,954x = 197,210 × 197,210
  4. Step 4: Simplify right side
    126,954x = 38,891,784,100
  5. Step 5: Solve for x
    x = 38,891,784,100/126,954
  6. Step 6: Final answer
    x = 306,345.48

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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.