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Finding the Third Proportional to 40,206 and 76,767

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Solution

The third proportional to 40,206 and 76,767 is: 146,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206 : 76,767 = 76,767 : x
  2. Step 2: Convert to fraction form
    40,206/76,767 = 76,767/x
  3. Step 3: Cross multiply
    40,206x = 76,767 × 76,767
  4. Step 4: Simplify right side
    40,206x = 5,893,172,289
  5. Step 5: Solve for x
    x = 5,893,172,289/40,206
  6. Step 6: Final answer
    x = 146,574.45

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.