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Finding the Third Proportional to 62,277 and 136,245

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Solution

The third proportional to 62,277 and 136,245 is: 298,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,277 : 136,245 = 136,245 : x
  2. Step 2: Convert to fraction form
    62,277/136,245 = 136,245/x
  3. Step 3: Cross multiply
    62,277x = 136,245 × 136,245
  4. Step 4: Simplify right side
    62,277x = 18,562,700,025
  5. Step 5: Solve for x
    x = 18,562,700,025/62,277
  6. Step 6: Final answer
    x = 298,066.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.