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Finding the Third Proportional to 39,619 and 87,014

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Solution

The third proportional to 39,619 and 87,014 is: 191,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,619 : 87,014 = 87,014 : x
  2. Step 2: Convert to fraction form
    39,619/87,014 = 87,014/x
  3. Step 3: Cross multiply
    39,619x = 87,014 × 87,014
  4. Step 4: Simplify right side
    39,619x = 7,571,436,196
  5. Step 5: Solve for x
    x = 7,571,436,196/39,619
  6. Step 6: Final answer
    x = 191,106.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.