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Finding the Third Proportional to 85,638 and 131,733

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Solution

The third proportional to 85,638 and 131,733 is: 202,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,638 : 131,733 = 131,733 : x
  2. Step 2: Convert to fraction form
    85,638/131,733 = 131,733/x
  3. Step 3: Cross multiply
    85,638x = 131,733 × 131,733
  4. Step 4: Simplify right side
    85,638x = 17,353,583,289
  5. Step 5: Solve for x
    x = 17,353,583,289/85,638
  6. Step 6: Final answer
    x = 202,638.82

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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.