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Finding the Third Proportional to 33,808.50 and 78,264

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Solution

The third proportional to 33,808.50 and 78,264 is: 181,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,808.50 : 78,264 = 78,264 : x
  2. Step 2: Convert to fraction form
    33,808.50/78,264 = 78,264/x
  3. Step 3: Cross multiply
    33,808.50x = 78,264 × 78,264
  4. Step 4: Simplify right side
    33,808.50x = 6,125,253,696
  5. Step 5: Solve for x
    x = 6,125,253,696/33,808.50
  6. Step 6: Final answer
    x = 181,174.96

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.