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Finding the Third Proportional to 51,078 and 118,694

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Solution

The third proportional to 51,078 and 118,694 is: 275,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,078 : 118,694 = 118,694 : x
  2. Step 2: Convert to fraction form
    51,078/118,694 = 118,694/x
  3. Step 3: Cross multiply
    51,078x = 118,694 × 118,694
  4. Step 4: Simplify right side
    51,078x = 14,088,265,636
  5. Step 5: Solve for x
    x = 14,088,265,636/51,078
  6. Step 6: Final answer
    x = 275,818.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.