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Finding the Third Proportional to 78,856 and 119,100

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Solution

The third proportional to 78,856 and 119,100 is: 179,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,856 : 119,100 = 119,100 : x
  2. Step 2: Convert to fraction form
    78,856/119,100 = 119,100/x
  3. Step 3: Cross multiply
    78,856x = 119,100 × 119,100
  4. Step 4: Simplify right side
    78,856x = 14,184,810,000
  5. Step 5: Solve for x
    x = 14,184,810,000/78,856
  6. Step 6: Final answer
    x = 179,882.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.