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Finding the Third Proportional to 85,596.38 and 131,733.75

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Solution

The third proportional to 85,596.38 and 131,733.75 is: 202,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,596.38 : 131,733.75 = 131,733.75 : x
  2. Step 2: Convert to fraction form
    85,596.38/131,733.75 = 131,733.75/x
  3. Step 3: Cross multiply
    85,596.38x = 131,733.75 × 131,733.75
  4. Step 4: Simplify right side
    85,596.38x = 17,353,780,889.06
  5. Step 5: Solve for x
    x = 17,353,780,889.06/85,596.38
  6. Step 6: Final answer
    x = 202,739.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.