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Finding the Third Proportional to 55,353 and 85,944.75

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Solution

The third proportional to 55,353 and 85,944.75 is: 133,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,353 : 85,944.75 = 85,944.75 : x
  2. Step 2: Convert to fraction form
    55,353/85,944.75 = 85,944.75/x
  3. Step 3: Cross multiply
    55,353x = 85,944.75 × 85,944.75
  4. Step 4: Simplify right side
    55,353x = 7,386,500,052.56
  5. Step 5: Solve for x
    x = 7,386,500,052.56/55,353
  6. Step 6: Final answer
    x = 133,443.54

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Why These Related Problems?

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