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Finding the Third Proportional to 87,522.50 and 192,064

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Solution

The third proportional to 87,522.50 and 192,064 is: 421,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,522.50 : 192,064 = 192,064 : x
  2. Step 2: Convert to fraction form
    87,522.50/192,064 = 192,064/x
  3. Step 3: Cross multiply
    87,522.50x = 192,064 × 192,064
  4. Step 4: Simplify right side
    87,522.50x = 36,888,580,096
  5. Step 5: Solve for x
    x = 36,888,580,096/87,522.50
  6. Step 6: Final answer
    x = 421,475.39

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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.