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Finding the Third Proportional to 89,057 and 187,336

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Solution

The third proportional to 89,057 and 187,336 is: 394,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,057 : 187,336 = 187,336 : x
  2. Step 2: Convert to fraction form
    89,057/187,336 = 187,336/x
  3. Step 3: Cross multiply
    89,057x = 187,336 × 187,336
  4. Step 4: Simplify right side
    89,057x = 35,094,776,896
  5. Step 5: Solve for x
    x = 35,094,776,896/89,057
  6. Step 6: Final answer
    x = 394,070.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.