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Finding the Third Proportional to 40,766 and 83,260

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Solution

The third proportional to 40,766 and 83,260 is: 170,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,766 : 83,260 = 83,260 : x
  2. Step 2: Convert to fraction form
    40,766/83,260 = 83,260/x
  3. Step 3: Cross multiply
    40,766x = 83,260 × 83,260
  4. Step 4: Simplify right side
    40,766x = 6,932,227,600
  5. Step 5: Solve for x
    x = 6,932,227,600/40,766
  6. Step 6: Final answer
    x = 170,049.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.