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Finding the Third Proportional to 70,917 and 108,258.75

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Solution

The third proportional to 70,917 and 108,258.75 is: 165,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,917 : 108,258.75 = 108,258.75 : x
  2. Step 2: Convert to fraction form
    70,917/108,258.75 = 108,258.75/x
  3. Step 3: Cross multiply
    70,917x = 108,258.75 × 108,258.75
  4. Step 4: Simplify right side
    70,917x = 11,719,956,951.56
  5. Step 5: Solve for x
    x = 11,719,956,951.56/70,917
  6. Step 6: Final answer
    x = 165,263.01

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.