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Finding the Third Proportional to 89,752 and 188,804

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Solution

The third proportional to 89,752 and 188,804 is: 397,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,752 : 188,804 = 188,804 : x
  2. Step 2: Convert to fraction form
    89,752/188,804 = 188,804/x
  3. Step 3: Cross multiply
    89,752x = 188,804 × 188,804
  4. Step 4: Simplify right side
    89,752x = 35,646,950,416
  5. Step 5: Solve for x
    x = 35,646,950,416/89,752
  6. Step 6: Final answer
    x = 397,171.66

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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.