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Finding the Third Proportional to 78,900 and 110,979

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Solution

The third proportional to 78,900 and 110,979 is: 156,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,900 : 110,979 = 110,979 : x
  2. Step 2: Convert to fraction form
    78,900/110,979 = 110,979/x
  3. Step 3: Cross multiply
    78,900x = 110,979 × 110,979
  4. Step 4: Simplify right side
    78,900x = 12,316,338,441
  5. Step 5: Solve for x
    x = 12,316,338,441/78,900
  6. Step 6: Final answer
    x = 156,100.61

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