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Finding the Third Proportional to 111,180 and 243,126

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Solution

The third proportional to 111,180 and 243,126 is: 531,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,180 : 243,126 = 243,126 : x
  2. Step 2: Convert to fraction form
    111,180/243,126 = 243,126/x
  3. Step 3: Cross multiply
    111,180x = 243,126 × 243,126
  4. Step 4: Simplify right side
    111,180x = 59,110,251,876
  5. Step 5: Solve for x
    x = 59,110,251,876/111,180
  6. Step 6: Final answer
    x = 531,662.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.