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Finding the Third Proportional to 117,530 and 171,372

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Solution

The third proportional to 117,530 and 171,372 is: 249,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,530 : 171,372 = 171,372 : x
  2. Step 2: Convert to fraction form
    117,530/171,372 = 171,372/x
  3. Step 3: Cross multiply
    117,530x = 171,372 × 171,372
  4. Step 4: Simplify right side
    117,530x = 29,368,362,384
  5. Step 5: Solve for x
    x = 29,368,362,384/117,530
  6. Step 6: Final answer
    x = 249,879.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.