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Finding the Third Proportional to 117,920 and 166,319

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Solution

The third proportional to 117,920 and 166,319 is: 234,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,920 : 166,319 = 166,319 : x
  2. Step 2: Convert to fraction form
    117,920/166,319 = 166,319/x
  3. Step 3: Cross multiply
    117,920x = 166,319 × 166,319
  4. Step 4: Simplify right side
    117,920x = 27,662,009,761
  5. Step 5: Solve for x
    x = 27,662,009,761/117,920
  6. Step 6: Final answer
    x = 234,582.85

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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.