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Finding the Third Proportional to 52,680 and 125,916

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Solution

The third proportional to 52,680 and 125,916 is: 300,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,680 : 125,916 = 125,916 : x
  2. Step 2: Convert to fraction form
    52,680/125,916 = 125,916/x
  3. Step 3: Cross multiply
    52,680x = 125,916 × 125,916
  4. Step 4: Simplify right side
    52,680x = 15,854,839,056
  5. Step 5: Solve for x
    x = 15,854,839,056/52,680
  6. Step 6: Final answer
    x = 300,965.05

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.