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Finding the Third Proportional to 89,138 and 141,087

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Solution

The third proportional to 89,138 and 141,087 is: 223,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,138 : 141,087 = 141,087 : x
  2. Step 2: Convert to fraction form
    89,138/141,087 = 141,087/x
  3. Step 3: Cross multiply
    89,138x = 141,087 × 141,087
  4. Step 4: Simplify right side
    89,138x = 19,905,541,569
  5. Step 5: Solve for x
    x = 19,905,541,569/89,138
  6. Step 6: Final answer
    x = 223,311.51

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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.