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Finding the Third Proportional to 52,014 and 110,226

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Solution

The third proportional to 52,014 and 110,226 is: 233,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014 : 110,226 = 110,226 : x
  2. Step 2: Convert to fraction form
    52,014/110,226 = 110,226/x
  3. Step 3: Cross multiply
    52,014x = 110,226 × 110,226
  4. Step 4: Simplify right side
    52,014x = 12,149,771,076
  5. Step 5: Solve for x
    x = 12,149,771,076/52,014
  6. Step 6: Final answer
    x = 233,586.56

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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.