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Finding the Third Proportional to 52,388 and 80,112

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Solution

The third proportional to 52,388 and 80,112 is: 122,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,388 : 80,112 = 80,112 : x
  2. Step 2: Convert to fraction form
    52,388/80,112 = 80,112/x
  3. Step 3: Cross multiply
    52,388x = 80,112 × 80,112
  4. Step 4: Simplify right side
    52,388x = 6,417,932,544
  5. Step 5: Solve for x
    x = 6,417,932,544/52,388
  6. Step 6: Final answer
    x = 122,507.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.