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Finding the Third Proportional to 62,217 and 136,530

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Solution

The third proportional to 62,217 and 136,530 is: 299,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,217 : 136,530 = 136,530 : x
  2. Step 2: Convert to fraction form
    62,217/136,530 = 136,530/x
  3. Step 3: Cross multiply
    62,217x = 136,530 × 136,530
  4. Step 4: Simplify right side
    62,217x = 18,640,440,900
  5. Step 5: Solve for x
    x = 18,640,440,900/62,217
  6. Step 6: Final answer
    x = 299,603.66

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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.