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Finding the Third Proportional to 62,270 and 90,741

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Solution

The third proportional to 62,270 and 90,741 is: 132,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,270 : 90,741 = 90,741 : x
  2. Step 2: Convert to fraction form
    62,270/90,741 = 90,741/x
  3. Step 3: Cross multiply
    62,270x = 90,741 × 90,741
  4. Step 4: Simplify right side
    62,270x = 8,233,929,081
  5. Step 5: Solve for x
    x = 8,233,929,081/62,270
  6. Step 6: Final answer
    x = 132,229.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.