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Finding the Third Proportional to 88,002 and 116,692

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Solution

The third proportional to 88,002 and 116,692 is: 154,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,002 : 116,692 = 116,692 : x
  2. Step 2: Convert to fraction form
    88,002/116,692 = 116,692/x
  3. Step 3: Cross multiply
    88,002x = 116,692 × 116,692
  4. Step 4: Simplify right side
    88,002x = 13,617,022,864
  5. Step 5: Solve for x
    x = 13,617,022,864/88,002
  6. Step 6: Final answer
    x = 154,735.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.