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Finding the Third Proportional to 117,593.25 and 154,518.75

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Solution

The third proportional to 117,593.25 and 154,518.75 is: 203,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,593.25 : 154,518.75 = 154,518.75 : x
  2. Step 2: Convert to fraction form
    117,593.25/154,518.75 = 154,518.75/x
  3. Step 3: Cross multiply
    117,593.25x = 154,518.75 × 154,518.75
  4. Step 4: Simplify right side
    117,593.25x = 23,876,044,101.56
  5. Step 5: Solve for x
    x = 23,876,044,101.56/117,593.25
  6. Step 6: Final answer
    x = 203,039.24

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.