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Finding the Third Proportional to 70,288 and 111,692

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Solution

The third proportional to 70,288 and 111,692 is: 177,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,288 : 111,692 = 111,692 : x
  2. Step 2: Convert to fraction form
    70,288/111,692 = 111,692/x
  3. Step 3: Cross multiply
    70,288x = 111,692 × 111,692
  4. Step 4: Simplify right side
    70,288x = 12,475,102,864
  5. Step 5: Solve for x
    x = 12,475,102,864/70,288
  6. Step 6: Final answer
    x = 177,485.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.