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Finding the Third Proportional to 44,659 and 69,119

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Solution

The third proportional to 44,659 and 69,119 is: 106,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,659 : 69,119 = 69,119 : x
  2. Step 2: Convert to fraction form
    44,659/69,119 = 69,119/x
  3. Step 3: Cross multiply
    44,659x = 69,119 × 69,119
  4. Step 4: Simplify right side
    44,659x = 4,777,436,161
  5. Step 5: Solve for x
    x = 4,777,436,161/44,659
  6. Step 6: Final answer
    x = 106,975.89

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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.