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Finding the Third Proportional to 78,817 and 118,305

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Solution

The third proportional to 78,817 and 118,305 is: 177,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,817 : 118,305 = 118,305 : x
  2. Step 2: Convert to fraction form
    78,817/118,305 = 118,305/x
  3. Step 3: Cross multiply
    78,817x = 118,305 × 118,305
  4. Step 4: Simplify right side
    78,817x = 13,996,073,025
  5. Step 5: Solve for x
    x = 13,996,073,025/78,817
  6. Step 6: Final answer
    x = 177,576.83

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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.