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Finding the Third Proportional to 88,939.50 and 192,642

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Solution

The third proportional to 88,939.50 and 192,642 is: 417,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,939.50 : 192,642 = 192,642 : x
  2. Step 2: Convert to fraction form
    88,939.50/192,642 = 192,642/x
  3. Step 3: Cross multiply
    88,939.50x = 192,642 × 192,642
  4. Step 4: Simplify right side
    88,939.50x = 37,110,940,164
  5. Step 5: Solve for x
    x = 37,110,940,164/88,939.50
  6. Step 6: Final answer
    x = 417,260.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.