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Finding the Third Proportional to 76,296 and 117,904

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Solution

The third proportional to 76,296 and 117,904 is: 182,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,296 : 117,904 = 117,904 : x
  2. Step 2: Convert to fraction form
    76,296/117,904 = 117,904/x
  3. Step 3: Cross multiply
    76,296x = 117,904 × 117,904
  4. Step 4: Simplify right side
    76,296x = 13,901,353,216
  5. Step 5: Solve for x
    x = 13,901,353,216/76,296
  6. Step 6: Final answer
    x = 182,202.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.