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Finding the Third Proportional to 52,828 and 106,520

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Solution

The third proportional to 52,828 and 106,520 is: 214,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828 : 106,520 = 106,520 : x
  2. Step 2: Convert to fraction form
    52,828/106,520 = 106,520/x
  3. Step 3: Cross multiply
    52,828x = 106,520 × 106,520
  4. Step 4: Simplify right side
    52,828x = 11,346,510,400
  5. Step 5: Solve for x
    x = 11,346,510,400/52,828
  6. Step 6: Final answer
    x = 214,782.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.