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Finding the Third Proportional to 62,775 and 136,206

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Solution

The third proportional to 62,775 and 136,206 is: 295,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,775 : 136,206 = 136,206 : x
  2. Step 2: Convert to fraction form
    62,775/136,206 = 136,206/x
  3. Step 3: Cross multiply
    62,775x = 136,206 × 136,206
  4. Step 4: Simplify right side
    62,775x = 18,552,074,436
  5. Step 5: Solve for x
    x = 18,552,074,436/62,775
  6. Step 6: Final answer
    x = 295,532.85

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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.