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Finding the Third Proportional to 55,232 and 118,204

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Solution

The third proportional to 55,232 and 118,204 is: 252,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,232 : 118,204 = 118,204 : x
  2. Step 2: Convert to fraction form
    55,232/118,204 = 118,204/x
  3. Step 3: Cross multiply
    55,232x = 118,204 × 118,204
  4. Step 4: Simplify right side
    55,232x = 13,972,185,616
  5. Step 5: Solve for x
    x = 13,972,185,616/55,232
  6. Step 6: Final answer
    x = 252,972.65

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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.