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Finding the Third Proportional to 71,624 and 155,296

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Solution

The third proportional to 71,624 and 155,296 is: 336,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,624 : 155,296 = 155,296 : x
  2. Step 2: Convert to fraction form
    71,624/155,296 = 155,296/x
  3. Step 3: Cross multiply
    71,624x = 155,296 × 155,296
  4. Step 4: Simplify right side
    71,624x = 24,116,847,616
  5. Step 5: Solve for x
    x = 24,116,847,616/71,624
  6. Step 6: Final answer
    x = 336,714.62

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Why These Related Problems?

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