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Finding the Third Proportional to 55,963 and 122,951

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Solution

The third proportional to 55,963 and 122,951 is: 270,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,963 : 122,951 = 122,951 : x
  2. Step 2: Convert to fraction form
    55,963/122,951 = 122,951/x
  3. Step 3: Cross multiply
    55,963x = 122,951 × 122,951
  4. Step 4: Simplify right side
    55,963x = 15,116,948,401
  5. Step 5: Solve for x
    x = 15,116,948,401/55,963
  6. Step 6: Final answer
    x = 270,123.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.