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Finding the Third Proportional to 85,257.56 and 133,353.56

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Solution

The third proportional to 85,257.56 and 133,353.56 is: 208,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,257.56 : 133,353.56 = 133,353.56 : x
  2. Step 2: Convert to fraction form
    85,257.56/133,353.56 = 133,353.56/x
  3. Step 3: Cross multiply
    85,257.56x = 133,353.56 × 133,353.56
  4. Step 4: Simplify right side
    85,257.56x = 17,783,172,631.44
  5. Step 5: Solve for x
    x = 17,783,172,631.44/85,257.56
  6. Step 6: Final answer
    x = 208,581.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.