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Finding the Third Proportional to 78,823 and 118,314

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Solution

The third proportional to 78,823 and 118,314 is: 177,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823 : 118,314 = 118,314 : x
  2. Step 2: Convert to fraction form
    78,823/118,314 = 118,314/x
  3. Step 3: Cross multiply
    78,823x = 118,314 × 118,314
  4. Step 4: Simplify right side
    78,823x = 13,998,202,596
  5. Step 5: Solve for x
    x = 13,998,202,596/78,823
  6. Step 6: Final answer
    x = 177,590.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.