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Finding the Third Proportional to 28,245 and 62,253

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Solution

The third proportional to 28,245 and 62,253 is: 137,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,245 : 62,253 = 62,253 : x
  2. Step 2: Convert to fraction form
    28,245/62,253 = 62,253/x
  3. Step 3: Cross multiply
    28,245x = 62,253 × 62,253
  4. Step 4: Simplify right side
    28,245x = 3,875,436,009
  5. Step 5: Solve for x
    x = 3,875,436,009/28,245
  6. Step 6: Final answer
    x = 137,207.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.