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Finding the Third Proportional to 52,221 and 110,395

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Solution

The third proportional to 52,221 and 110,395 is: 233,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,221 : 110,395 = 110,395 : x
  2. Step 2: Convert to fraction form
    52,221/110,395 = 110,395/x
  3. Step 3: Cross multiply
    52,221x = 110,395 × 110,395
  4. Step 4: Simplify right side
    52,221x = 12,187,056,025
  5. Step 5: Solve for x
    x = 12,187,056,025/52,221
  6. Step 6: Final answer
    x = 233,374.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.