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Finding the Third Proportional to 40,619 and 88,087

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Solution

The third proportional to 40,619 and 88,087 is: 191,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,619 : 88,087 = 88,087 : x
  2. Step 2: Convert to fraction form
    40,619/88,087 = 88,087/x
  3. Step 3: Cross multiply
    40,619x = 88,087 × 88,087
  4. Step 4: Simplify right side
    40,619x = 7,759,319,569
  5. Step 5: Solve for x
    x = 7,759,319,569/40,619
  6. Step 6: Final answer
    x = 191,026.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.