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Finding the Third Proportional to 126,785.13 and 197,447.75

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Solution

The third proportional to 126,785.13 and 197,447.75 is: 307,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,785.13 : 197,447.75 = 197,447.75 : x
  2. Step 2: Convert to fraction form
    126,785.13/197,447.75 = 197,447.75/x
  3. Step 3: Cross multiply
    126,785.13x = 197,447.75 × 197,447.75
  4. Step 4: Simplify right side
    126,785.13x = 38,985,613,980.06
  5. Step 5: Solve for x
    x = 38,985,613,980.06/126,785.13
  6. Step 6: Final answer
    x = 307,493.60

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