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Finding the Third Proportional to 89,535.38 and 139,750.31

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Solution

The third proportional to 89,535.38 and 139,750.31 is: 218,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,535.38 : 139,750.31 = 139,750.31 : x
  2. Step 2: Convert to fraction form
    89,535.38/139,750.31 = 139,750.31/x
  3. Step 3: Cross multiply
    89,535.38x = 139,750.31 × 139,750.31
  4. Step 4: Simplify right side
    89,535.38x = 19,530,149,843.85
  5. Step 5: Solve for x
    x = 19,530,149,843.85/89,535.38
  6. Step 6: Final answer
    x = 218,127.75

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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.