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Finding the Third Proportional to 52,322 and 111,176

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Solution

The third proportional to 52,322 and 111,176 is: 236,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,322 : 111,176 = 111,176 : x
  2. Step 2: Convert to fraction form
    52,322/111,176 = 111,176/x
  3. Step 3: Cross multiply
    52,322x = 111,176 × 111,176
  4. Step 4: Simplify right side
    52,322x = 12,360,102,976
  5. Step 5: Solve for x
    x = 12,360,102,976/52,322
  6. Step 6: Final answer
    x = 236,231.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.