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Finding the Third Proportional to 88,183.50 and 135,123.75

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Solution

The third proportional to 88,183.50 and 135,123.75 is: 207,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,183.50 : 135,123.75 = 135,123.75 : x
  2. Step 2: Convert to fraction form
    88,183.50/135,123.75 = 135,123.75/x
  3. Step 3: Cross multiply
    88,183.50x = 135,123.75 × 135,123.75
  4. Step 4: Simplify right side
    88,183.50x = 18,258,427,814.06
  5. Step 5: Solve for x
    x = 18,258,427,814.06/88,183.50
  6. Step 6: Final answer
    x = 207,050.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.