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Finding the Third Proportional to 52,244 and 110,944

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Solution

The third proportional to 52,244 and 110,944 is: 235,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,244 : 110,944 = 110,944 : x
  2. Step 2: Convert to fraction form
    52,244/110,944 = 110,944/x
  3. Step 3: Cross multiply
    52,244x = 110,944 × 110,944
  4. Step 4: Simplify right side
    52,244x = 12,308,571,136
  5. Step 5: Solve for x
    x = 12,308,571,136/52,244
  6. Step 6: Final answer
    x = 235,597.79

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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.