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Finding the Third Proportional to 55,116 and 118,962

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Solution

The third proportional to 55,116 and 118,962 is: 256,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,116 : 118,962 = 118,962 : x
  2. Step 2: Convert to fraction form
    55,116/118,962 = 118,962/x
  3. Step 3: Cross multiply
    55,116x = 118,962 × 118,962
  4. Step 4: Simplify right side
    55,116x = 14,151,957,444
  5. Step 5: Solve for x
    x = 14,151,957,444/55,116
  6. Step 6: Final answer
    x = 256,766.77

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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.