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Finding the Third Proportional to 67,766 and 104,721

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Solution

The third proportional to 67,766 and 104,721 is: 161,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,766 : 104,721 = 104,721 : x
  2. Step 2: Convert to fraction form
    67,766/104,721 = 104,721/x
  3. Step 3: Cross multiply
    67,766x = 104,721 × 104,721
  4. Step 4: Simplify right side
    67,766x = 10,966,487,841
  5. Step 5: Solve for x
    x = 10,966,487,841/67,766
  6. Step 6: Final answer
    x = 161,828.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.