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Finding the Third Proportional to 62,804 and 142,025

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Solution

The third proportional to 62,804 and 142,025 is: 321,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,804 : 142,025 = 142,025 : x
  2. Step 2: Convert to fraction form
    62,804/142,025 = 142,025/x
  3. Step 3: Cross multiply
    62,804x = 142,025 × 142,025
  4. Step 4: Simplify right side
    62,804x = 20,171,100,625
  5. Step 5: Solve for x
    x = 20,171,100,625/62,804
  6. Step 6: Final answer
    x = 321,175.41

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.