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Finding the Third Proportional to 52,388 and 107,800

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Solution

The third proportional to 52,388 and 107,800 is: 221,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,388 : 107,800 = 107,800 : x
  2. Step 2: Convert to fraction form
    52,388/107,800 = 107,800/x
  3. Step 3: Cross multiply
    52,388x = 107,800 × 107,800
  4. Step 4: Simplify right side
    52,388x = 11,620,840,000
  5. Step 5: Solve for x
    x = 11,620,840,000/52,388
  6. Step 6: Final answer
    x = 221,822.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.