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Finding the Third Proportional to 52,093 and 107,878

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Solution

The third proportional to 52,093 and 107,878 is: 223,401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,093 : 107,878 = 107,878 : x
  2. Step 2: Convert to fraction form
    52,093/107,878 = 107,878/x
  3. Step 3: Cross multiply
    52,093x = 107,878 × 107,878
  4. Step 4: Simplify right side
    52,093x = 11,637,662,884
  5. Step 5: Solve for x
    x = 11,637,662,884/52,093
  6. Step 6: Final answer
    x = 223,401.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.