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Finding the Third Proportional to 77,942 and 169,000

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Solution

The third proportional to 77,942 and 169,000 is: 366,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,942 : 169,000 = 169,000 : x
  2. Step 2: Convert to fraction form
    77,942/169,000 = 169,000/x
  3. Step 3: Cross multiply
    77,942x = 169,000 × 169,000
  4. Step 4: Simplify right side
    77,942x = 28,561,000,000
  5. Step 5: Solve for x
    x = 28,561,000,000/77,942
  6. Step 6: Final answer
    x = 366,439.15

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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.