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Finding the Third Proportional to 56,479.69 and 122,257.78

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Solution

The third proportional to 56,479.69 and 122,257.78 is: 264,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,479.69 : 122,257.78 = 122,257.78 : x
  2. Step 2: Convert to fraction form
    56,479.69/122,257.78 = 122,257.78/x
  3. Step 3: Cross multiply
    56,479.69x = 122,257.78 × 122,257.78
  4. Step 4: Simplify right side
    56,479.69x = 14,946,965,076.17
  5. Step 5: Solve for x
    x = 14,946,965,076.17/56,479.69
  6. Step 6: Final answer
    x = 264,643.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.