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Finding the Third Proportional to 90,692 and 142,993

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Solution

The third proportional to 90,692 and 142,993 is: 225,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,692 : 142,993 = 142,993 : x
  2. Step 2: Convert to fraction form
    90,692/142,993 = 142,993/x
  3. Step 3: Cross multiply
    90,692x = 142,993 × 142,993
  4. Step 4: Simplify right side
    90,692x = 20,446,998,049
  5. Step 5: Solve for x
    x = 20,446,998,049/90,692
  6. Step 6: Final answer
    x = 225,455.37

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.