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Finding the Third Proportional to 52,592 and 107,638

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Solution

The third proportional to 52,592 and 107,638 is: 220,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,592 : 107,638 = 107,638 : x
  2. Step 2: Convert to fraction form
    52,592/107,638 = 107,638/x
  3. Step 3: Cross multiply
    52,592x = 107,638 × 107,638
  4. Step 4: Simplify right side
    52,592x = 11,585,939,044
  5. Step 5: Solve for x
    x = 11,585,939,044/52,592
  6. Step 6: Final answer
    x = 220,298.51

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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.