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Finding the Third Proportional to 56,084 and 122,698

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Solution

The third proportional to 56,084 and 122,698 is: 268,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,084 : 122,698 = 122,698 : x
  2. Step 2: Convert to fraction form
    56,084/122,698 = 122,698/x
  3. Step 3: Cross multiply
    56,084x = 122,698 × 122,698
  4. Step 4: Simplify right side
    56,084x = 15,054,799,204
  5. Step 5: Solve for x
    x = 15,054,799,204/56,084
  6. Step 6: Final answer
    x = 268,433.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.