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Finding the Third Proportional to 117,600 and 168,093

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Solution

The third proportional to 117,600 and 168,093 is: 240,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,600 : 168,093 = 168,093 : x
  2. Step 2: Convert to fraction form
    117,600/168,093 = 168,093/x
  3. Step 3: Cross multiply
    117,600x = 168,093 × 168,093
  4. Step 4: Simplify right side
    117,600x = 28,255,256,649
  5. Step 5: Solve for x
    x = 28,255,256,649/117,600
  6. Step 6: Final answer
    x = 240,265.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.