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Finding the Third Proportional to 58,002.75 and 122,208.75

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Solution

The third proportional to 58,002.75 and 122,208.75 is: 257,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,002.75 : 122,208.75 = 122,208.75 : x
  2. Step 2: Convert to fraction form
    58,002.75/122,208.75 = 122,208.75/x
  3. Step 3: Cross multiply
    58,002.75x = 122,208.75 × 122,208.75
  4. Step 4: Simplify right side
    58,002.75x = 14,934,978,576.56
  5. Step 5: Solve for x
    x = 14,934,978,576.56/58,002.75
  6. Step 6: Final answer
    x = 257,487.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.