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Finding the Third Proportional to 41,750 and 86,260

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Solution

The third proportional to 41,750 and 86,260 is: 178,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,750 : 86,260 = 86,260 : x
  2. Step 2: Convert to fraction form
    41,750/86,260 = 86,260/x
  3. Step 3: Cross multiply
    41,750x = 86,260 × 86,260
  4. Step 4: Simplify right side
    41,750x = 7,440,787,600
  5. Step 5: Solve for x
    x = 7,440,787,600/41,750
  6. Step 6: Final answer
    x = 178,222.46

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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.