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Finding the Third Proportional to 133,082 and 195,733

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Solution

The third proportional to 133,082 and 195,733 is: 287,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082 : 195,733 = 195,733 : x
  2. Step 2: Convert to fraction form
    133,082/195,733 = 195,733/x
  3. Step 3: Cross multiply
    133,082x = 195,733 × 195,733
  4. Step 4: Simplify right side
    133,082x = 38,311,407,289
  5. Step 5: Solve for x
    x = 38,311,407,289/133,082
  6. Step 6: Final answer
    x = 287,878.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.