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Finding the Third Proportional to 89,295.75 and 138,381.75

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Solution

The third proportional to 89,295.75 and 138,381.75 is: 214,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,295.75 : 138,381.75 = 138,381.75 : x
  2. Step 2: Convert to fraction form
    89,295.75/138,381.75 = 138,381.75/x
  3. Step 3: Cross multiply
    89,295.75x = 138,381.75 × 138,381.75
  4. Step 4: Simplify right side
    89,295.75x = 19,149,508,733.06
  5. Step 5: Solve for x
    x = 19,149,508,733.06/89,295.75
  6. Step 6: Final answer
    x = 214,450.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.