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Finding the Third Proportional to 52,297 and 107,374

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Solution

The third proportional to 52,297 and 107,374 is: 220,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297 : 107,374 = 107,374 : x
  2. Step 2: Convert to fraction form
    52,297/107,374 = 107,374/x
  3. Step 3: Cross multiply
    52,297x = 107,374 × 107,374
  4. Step 4: Simplify right side
    52,297x = 11,529,175,876
  5. Step 5: Solve for x
    x = 11,529,175,876/52,297
  6. Step 6: Final answer
    x = 220,455.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.