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Finding the Third Proportional to 55,970 and 122,116

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Solution

The third proportional to 55,970 and 122,116 is: 266,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,970 : 122,116 = 122,116 : x
  2. Step 2: Convert to fraction form
    55,970/122,116 = 122,116/x
  3. Step 3: Cross multiply
    55,970x = 122,116 × 122,116
  4. Step 4: Simplify right side
    55,970x = 14,912,317,456
  5. Step 5: Solve for x
    x = 14,912,317,456/55,970
  6. Step 6: Final answer
    x = 266,434.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.