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Finding the Third Proportional to 62,082 and 134,007

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Solution

The third proportional to 62,082 and 134,007 is: 289,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,082 : 134,007 = 134,007 : x
  2. Step 2: Convert to fraction form
    62,082/134,007 = 134,007/x
  3. Step 3: Cross multiply
    62,082x = 134,007 × 134,007
  4. Step 4: Simplify right side
    62,082x = 17,957,876,049
  5. Step 5: Solve for x
    x = 17,957,876,049/62,082
  6. Step 6: Final answer
    x = 289,260.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.