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Finding the Third Proportional to 39,951 and 86,872.50

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Solution

The third proportional to 39,951 and 86,872.50 is: 188,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,951 : 86,872.50 = 86,872.50 : x
  2. Step 2: Convert to fraction form
    39,951/86,872.50 = 86,872.50/x
  3. Step 3: Cross multiply
    39,951x = 86,872.50 × 86,872.50
  4. Step 4: Simplify right side
    39,951x = 7,546,831,256.25
  5. Step 5: Solve for x
    x = 7,546,831,256.25/39,951
  6. Step 6: Final answer
    x = 188,902.19

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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.