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Finding the Third Proportional to 87,752 and 192,584

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Solution

The third proportional to 87,752 and 192,584 is: 422,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,752 : 192,584 = 192,584 : x
  2. Step 2: Convert to fraction form
    87,752/192,584 = 192,584/x
  3. Step 3: Cross multiply
    87,752x = 192,584 × 192,584
  4. Step 4: Simplify right side
    87,752x = 37,088,597,056
  5. Step 5: Solve for x
    x = 37,088,597,056/87,752
  6. Step 6: Final answer
    x = 422,652.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.