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Finding the Third Proportional to 78,879 and 114,718

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Solution

The third proportional to 78,879 and 114,718 is: 166,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,879 : 114,718 = 114,718 : x
  2. Step 2: Convert to fraction form
    78,879/114,718 = 114,718/x
  3. Step 3: Cross multiply
    78,879x = 114,718 × 114,718
  4. Step 4: Simplify right side
    78,879x = 13,160,219,524
  5. Step 5: Solve for x
    x = 13,160,219,524/78,879
  6. Step 6: Final answer
    x = 166,840.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.