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Finding the Third Proportional to 52,324 and 111,180

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Solution

The third proportional to 52,324 and 111,180 is: 236,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,324 : 111,180 = 111,180 : x
  2. Step 2: Convert to fraction form
    52,324/111,180 = 111,180/x
  3. Step 3: Cross multiply
    52,324x = 111,180 × 111,180
  4. Step 4: Simplify right side
    52,324x = 12,360,992,400
  5. Step 5: Solve for x
    x = 12,360,992,400/52,324
  6. Step 6: Final answer
    x = 236,239.44

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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.