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Finding the Third Proportional to 90,776.50 and 139,993

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Solution

The third proportional to 90,776.50 and 139,993 is: 215,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,776.50 : 139,993 = 139,993 : x
  2. Step 2: Convert to fraction form
    90,776.50/139,993 = 139,993/x
  3. Step 3: Cross multiply
    90,776.50x = 139,993 × 139,993
  4. Step 4: Simplify right side
    90,776.50x = 19,598,040,049
  5. Step 5: Solve for x
    x = 19,598,040,049/90,776.50
  6. Step 6: Final answer
    x = 215,893.32

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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.