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Finding the Third Proportional to 52,220 and 110,393

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Solution

The third proportional to 52,220 and 110,393 is: 233,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,220 : 110,393 = 110,393 : x
  2. Step 2: Convert to fraction form
    52,220/110,393 = 110,393/x
  3. Step 3: Cross multiply
    52,220x = 110,393 × 110,393
  4. Step 4: Simplify right side
    52,220x = 12,186,614,449
  5. Step 5: Solve for x
    x = 12,186,614,449/52,220
  6. Step 6: Final answer
    x = 233,370.63

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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.