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Finding the Third Proportional to 62,273 and 135,099

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Solution

The third proportional to 62,273 and 135,099 is: 293,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,273 : 135,099 = 135,099 : x
  2. Step 2: Convert to fraction form
    62,273/135,099 = 135,099/x
  3. Step 3: Cross multiply
    62,273x = 135,099 × 135,099
  4. Step 4: Simplify right side
    62,273x = 18,251,739,801
  5. Step 5: Solve for x
    x = 18,251,739,801/62,273
  6. Step 6: Final answer
    x = 293,092.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.