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Finding the Third Proportional to 56,962.41 and 122,689.69

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Solution

The third proportional to 56,962.41 and 122,689.69 is: 264,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,962.41 : 122,689.69 = 122,689.69 : x
  2. Step 2: Convert to fraction form
    56,962.41/122,689.69 = 122,689.69/x
  3. Step 3: Cross multiply
    56,962.41x = 122,689.69 × 122,689.69
  4. Step 4: Simplify right side
    56,962.41x = 15,052,759,418.85
  5. Step 5: Solve for x
    x = 15,052,759,418.85/56,962.41
  6. Step 6: Final answer
    x = 264,257.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.