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Finding the Third Proportional to 52,903 and 110,190

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Solution

The third proportional to 52,903 and 110,190 is: 229,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,903 : 110,190 = 110,190 : x
  2. Step 2: Convert to fraction form
    52,903/110,190 = 110,190/x
  3. Step 3: Cross multiply
    52,903x = 110,190 × 110,190
  4. Step 4: Simplify right side
    52,903x = 12,141,836,100
  5. Step 5: Solve for x
    x = 12,141,836,100/52,903
  6. Step 6: Final answer
    x = 229,511.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.