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Finding the Third Proportional to 125,023.50 and 169,857

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Solution

The third proportional to 125,023.50 and 169,857 is: 230,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,023.50 : 169,857 = 169,857 : x
  2. Step 2: Convert to fraction form
    125,023.50/169,857 = 169,857/x
  3. Step 3: Cross multiply
    125,023.50x = 169,857 × 169,857
  4. Step 4: Simplify right side
    125,023.50x = 28,851,400,449
  5. Step 5: Solve for x
    x = 28,851,400,449/125,023.50
  6. Step 6: Final answer
    x = 230,767.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.