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Finding the Third Proportional to 52,996 and 110,302

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Solution

The third proportional to 52,996 and 110,302 is: 229,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,996 : 110,302 = 110,302 : x
  2. Step 2: Convert to fraction form
    52,996/110,302 = 110,302/x
  3. Step 3: Cross multiply
    52,996x = 110,302 × 110,302
  4. Step 4: Simplify right side
    52,996x = 12,166,531,204
  5. Step 5: Solve for x
    x = 12,166,531,204/52,996
  6. Step 6: Final answer
    x = 229,574.52

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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.