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Finding the Third Proportional to 78,825 and 118,317

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Solution

The third proportional to 78,825 and 118,317 is: 177,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,825 : 118,317 = 118,317 : x
  2. Step 2: Convert to fraction form
    78,825/118,317 = 118,317/x
  3. Step 3: Cross multiply
    78,825x = 118,317 × 118,317
  4. Step 4: Simplify right side
    78,825x = 13,998,912,489
  5. Step 5: Solve for x
    x = 13,998,912,489/78,825
  6. Step 6: Final answer
    x = 177,594.83

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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.