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Finding the Third Proportional to 89,410.50 and 139,396.50

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Solution

The third proportional to 89,410.50 and 139,396.50 is: 217,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,410.50 : 139,396.50 = 139,396.50 : x
  2. Step 2: Convert to fraction form
    89,410.50/139,396.50 = 139,396.50/x
  3. Step 3: Cross multiply
    89,410.50x = 139,396.50 × 139,396.50
  4. Step 4: Simplify right side
    89,410.50x = 19,431,384,212.25
  5. Step 5: Solve for x
    x = 19,431,384,212.25/89,410.50
  6. Step 6: Final answer
    x = 217,327.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.