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Finding the Third Proportional to 32,082 and 77,289

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Solution

The third proportional to 32,082 and 77,289 is: 186,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082 : 77,289 = 77,289 : x
  2. Step 2: Convert to fraction form
    32,082/77,289 = 77,289/x
  3. Step 3: Cross multiply
    32,082x = 77,289 × 77,289
  4. Step 4: Simplify right side
    32,082x = 5,973,589,521
  5. Step 5: Solve for x
    x = 5,973,589,521/32,082
  6. Step 6: Final answer
    x = 186,197.54

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.