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Finding the Third Proportional to 77,082 and 167,267

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Solution

The third proportional to 77,082 and 167,267 is: 362,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082 : 167,267 = 167,267 : x
  2. Step 2: Convert to fraction form
    77,082/167,267 = 167,267/x
  3. Step 3: Cross multiply
    77,082x = 167,267 × 167,267
  4. Step 4: Simplify right side
    77,082x = 27,978,249,289
  5. Step 5: Solve for x
    x = 27,978,249,289/77,082
  6. Step 6: Final answer
    x = 362,967.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.