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Finding the Third Proportional to 41,729 and 86,374

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Solution

The third proportional to 41,729 and 86,374 is: 178,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,729 : 86,374 = 86,374 : x
  2. Step 2: Convert to fraction form
    41,729/86,374 = 86,374/x
  3. Step 3: Cross multiply
    41,729x = 86,374 × 86,374
  4. Step 4: Simplify right side
    41,729x = 7,460,467,876
  5. Step 5: Solve for x
    x = 7,460,467,876/41,729
  6. Step 6: Final answer
    x = 178,783.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.