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Finding the Third Proportional to 77,722 and 169,494

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Solution

The third proportional to 77,722 and 169,494 is: 369,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,722 : 169,494 = 169,494 : x
  2. Step 2: Convert to fraction form
    77,722/169,494 = 169,494/x
  3. Step 3: Cross multiply
    77,722x = 169,494 × 169,494
  4. Step 4: Simplify right side
    77,722x = 28,728,216,036
  5. Step 5: Solve for x
    x = 28,728,216,036/77,722
  6. Step 6: Final answer
    x = 369,627.85

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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.