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Finding the Third Proportional to 62,505 and 127,331

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Solution

The third proportional to 62,505 and 127,331 is: 259,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,505 : 127,331 = 127,331 : x
  2. Step 2: Convert to fraction form
    62,505/127,331 = 127,331/x
  3. Step 3: Cross multiply
    62,505x = 127,331 × 127,331
  4. Step 4: Simplify right side
    62,505x = 16,213,183,561
  5. Step 5: Solve for x
    x = 16,213,183,561/62,505
  6. Step 6: Final answer
    x = 259,390.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.