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Finding the Third Proportional to 78,914 and 169,857

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Solution

The third proportional to 78,914 and 169,857 is: 365,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,914 : 169,857 = 169,857 : x
  2. Step 2: Convert to fraction form
    78,914/169,857 = 169,857/x
  3. Step 3: Cross multiply
    78,914x = 169,857 × 169,857
  4. Step 4: Simplify right side
    78,914x = 28,851,400,449
  5. Step 5: Solve for x
    x = 28,851,400,449/78,914
  6. Step 6: Final answer
    x = 365,605.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.