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Finding the Third Proportional to 70,164.75 and 108,015

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Solution

The third proportional to 70,164.75 and 108,015 is: 166,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,164.75 : 108,015 = 108,015 : x
  2. Step 2: Convert to fraction form
    70,164.75/108,015 = 108,015/x
  3. Step 3: Cross multiply
    70,164.75x = 108,015 × 108,015
  4. Step 4: Simplify right side
    70,164.75x = 11,667,240,225
  5. Step 5: Solve for x
    x = 11,667,240,225/70,164.75
  6. Step 6: Final answer
    x = 166,283.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.