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Finding the Third Proportional to 44,660 and 69,121

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Solution

The third proportional to 44,660 and 69,121 is: 106,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,660 : 69,121 = 69,121 : x
  2. Step 2: Convert to fraction form
    44,660/69,121 = 69,121/x
  3. Step 3: Cross multiply
    44,660x = 69,121 × 69,121
  4. Step 4: Simplify right side
    44,660x = 4,777,712,641
  5. Step 5: Solve for x
    x = 4,777,712,641/44,660
  6. Step 6: Final answer
    x = 106,979.68

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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.