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Finding the Third Proportional to 41,159.75 and 88,456

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Solution

The third proportional to 41,159.75 and 88,456 is: 190,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,159.75 : 88,456 = 88,456 : x
  2. Step 2: Convert to fraction form
    41,159.75/88,456 = 88,456/x
  3. Step 3: Cross multiply
    41,159.75x = 88,456 × 88,456
  4. Step 4: Simplify right side
    41,159.75x = 7,824,463,936
  5. Step 5: Solve for x
    x = 7,824,463,936/41,159.75
  6. Step 6: Final answer
    x = 190,099.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.