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Finding the Third Proportional to 71,024 and 155,872

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Solution

The third proportional to 71,024 and 155,872 is: 342,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024 : 155,872 = 155,872 : x
  2. Step 2: Convert to fraction form
    71,024/155,872 = 155,872/x
  3. Step 3: Cross multiply
    71,024x = 155,872 × 155,872
  4. Step 4: Simplify right side
    71,024x = 24,296,080,384
  5. Step 5: Solve for x
    x = 24,296,080,384/71,024
  6. Step 6: Final answer
    x = 342,082.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.