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Finding the Third Proportional to 52,220 and 111,828

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Solution

The third proportional to 52,220 and 111,828 is: 239,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,220 : 111,828 = 111,828 : x
  2. Step 2: Convert to fraction form
    52,220/111,828 = 111,828/x
  3. Step 3: Cross multiply
    52,220x = 111,828 × 111,828
  4. Step 4: Simplify right side
    52,220x = 12,505,501,584
  5. Step 5: Solve for x
    x = 12,505,501,584/52,220
  6. Step 6: Final answer
    x = 239,477.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.