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Finding the Third Proportional to 76,277 and 112,857

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Solution

The third proportional to 76,277 and 112,857 is: 166,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,277 : 112,857 = 112,857 : x
  2. Step 2: Convert to fraction form
    76,277/112,857 = 112,857/x
  3. Step 3: Cross multiply
    76,277x = 112,857 × 112,857
  4. Step 4: Simplify right side
    76,277x = 12,736,702,449
  5. Step 5: Solve for x
    x = 12,736,702,449/76,277
  6. Step 6: Final answer
    x = 166,979.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.