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Finding the Third Proportional to 117,894.66 and 166,658.34

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Solution

The third proportional to 117,894.66 and 166,658.34 is: 235,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,894.66 : 166,658.34 = 166,658.34 : x
  2. Step 2: Convert to fraction form
    117,894.66/166,658.34 = 166,658.34/x
  3. Step 3: Cross multiply
    117,894.66x = 166,658.34 × 166,658.34
  4. Step 4: Simplify right side
    117,894.66x = 27,775,003,541.49
  5. Step 5: Solve for x
    x = 27,775,003,541.49/117,894.66
  6. Step 6: Final answer
    x = 235,591.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.