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Finding the Third Proportional to 87,435.75 and 187,274.75

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Solution

The third proportional to 87,435.75 and 187,274.75 is: 401,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,435.75 : 187,274.75 = 187,274.75 : x
  2. Step 2: Convert to fraction form
    87,435.75/187,274.75 = 187,274.75/x
  3. Step 3: Cross multiply
    87,435.75x = 187,274.75 × 187,274.75
  4. Step 4: Simplify right side
    87,435.75x = 35,071,831,987.56
  5. Step 5: Solve for x
    x = 35,071,831,987.56/87,435.75
  6. Step 6: Final answer
    x = 401,115.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.