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Finding the Third Proportional to 52,218 and 107,201.25

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Solution

The third proportional to 52,218 and 107,201.25 is: 220,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,218 : 107,201.25 = 107,201.25 : x
  2. Step 2: Convert to fraction form
    52,218/107,201.25 = 107,201.25/x
  3. Step 3: Cross multiply
    52,218x = 107,201.25 × 107,201.25
  4. Step 4: Simplify right side
    52,218x = 11,492,108,001.56
  5. Step 5: Solve for x
    x = 11,492,108,001.56/52,218
  6. Step 6: Final answer
    x = 220,079.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.