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Finding the Third Proportional to 126,785 and 197,447.56

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Solution

The third proportional to 126,785 and 197,447.56 is: 307,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,785 : 197,447.56 = 197,447.56 : x
  2. Step 2: Convert to fraction form
    126,785/197,447.56 = 197,447.56/x
  3. Step 3: Cross multiply
    126,785x = 197,447.56 × 197,447.56
  4. Step 4: Simplify right side
    126,785x = 38,985,539,937.19
  5. Step 5: Solve for x
    x = 38,985,539,937.19/126,785
  6. Step 6: Final answer
    x = 307,493.31

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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.