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Finding the Third Proportional to 71,622 and 156,082

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Solution

The third proportional to 71,622 and 156,082 is: 340,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,622 : 156,082 = 156,082 : x
  2. Step 2: Convert to fraction form
    71,622/156,082 = 156,082/x
  3. Step 3: Cross multiply
    71,622x = 156,082 × 156,082
  4. Step 4: Simplify right side
    71,622x = 24,361,590,724
  5. Step 5: Solve for x
    x = 24,361,590,724/71,622
  6. Step 6: Final answer
    x = 340,141.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.