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Finding the Third Proportional to 79,392 and 169,856

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Solution

The third proportional to 79,392 and 169,856 is: 363,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,392 : 169,856 = 169,856 : x
  2. Step 2: Convert to fraction form
    79,392/169,856 = 169,856/x
  3. Step 3: Cross multiply
    79,392x = 169,856 × 169,856
  4. Step 4: Simplify right side
    79,392x = 28,851,060,736
  5. Step 5: Solve for x
    x = 28,851,060,736/79,392
  6. Step 6: Final answer
    x = 363,400.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.