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Finding the Third Proportional to 78,936 and 171,800

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Solution

The third proportional to 78,936 and 171,800 is: 373,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,936 : 171,800 = 171,800 : x
  2. Step 2: Convert to fraction form
    78,936/171,800 = 171,800/x
  3. Step 3: Cross multiply
    78,936x = 171,800 × 171,800
  4. Step 4: Simplify right side
    78,936x = 29,515,240,000
  5. Step 5: Solve for x
    x = 29,515,240,000/78,936
  6. Step 6: Final answer
    x = 373,913.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.