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Finding the Third Proportional to 78,827 and 119,059

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Solution

The third proportional to 78,827 and 119,059 is: 179,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,827 : 119,059 = 119,059 : x
  2. Step 2: Convert to fraction form
    78,827/119,059 = 119,059/x
  3. Step 3: Cross multiply
    78,827x = 119,059 × 119,059
  4. Step 4: Simplify right side
    78,827x = 14,175,045,481
  5. Step 5: Solve for x
    x = 14,175,045,481/78,827
  6. Step 6: Final answer
    x = 179,824.75

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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.