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Finding the Third Proportional to 45,192 and 104,164

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Solution

The third proportional to 45,192 and 104,164 is: 240,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,192 : 104,164 = 104,164 : x
  2. Step 2: Convert to fraction form
    45,192/104,164 = 104,164/x
  3. Step 3: Cross multiply
    45,192x = 104,164 × 104,164
  4. Step 4: Simplify right side
    45,192x = 10,850,138,896
  5. Step 5: Solve for x
    x = 10,850,138,896/45,192
  6. Step 6: Final answer
    x = 240,089.81

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.