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Finding the Third Proportional to 62,318 and 136,302

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Solution

The third proportional to 62,318 and 136,302 is: 298,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,318 : 136,302 = 136,302 : x
  2. Step 2: Convert to fraction form
    62,318/136,302 = 136,302/x
  3. Step 3: Cross multiply
    62,318x = 136,302 × 136,302
  4. Step 4: Simplify right side
    62,318x = 18,578,235,204
  5. Step 5: Solve for x
    x = 18,578,235,204/62,318
  6. Step 6: Final answer
    x = 298,119.89

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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.