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Finding the Third Proportional to 71,664 and 155,766

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Solution

The third proportional to 71,664 and 155,766 is: 338,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664 : 155,766 = 155,766 : x
  2. Step 2: Convert to fraction form
    71,664/155,766 = 155,766/x
  3. Step 3: Cross multiply
    71,664x = 155,766 × 155,766
  4. Step 4: Simplify right side
    71,664x = 24,263,046,756
  5. Step 5: Solve for x
    x = 24,263,046,756/71,664
  6. Step 6: Final answer
    x = 338,566.74

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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.