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Finding the Third Proportional to 133,082 and 191,299

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Solution

The third proportional to 133,082 and 191,299 is: 274,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082 : 191,299 = 191,299 : x
  2. Step 2: Convert to fraction form
    133,082/191,299 = 191,299/x
  3. Step 3: Cross multiply
    133,082x = 191,299 × 191,299
  4. Step 4: Simplify right side
    133,082x = 36,595,307,401
  5. Step 5: Solve for x
    x = 36,595,307,401/133,082
  6. Step 6: Final answer
    x = 274,983.15

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.