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Finding the Third Proportional to 55,096 and 118,944

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Solution

The third proportional to 55,096 and 118,944 is: 256,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,096 : 118,944 = 118,944 : x
  2. Step 2: Convert to fraction form
    55,096/118,944 = 118,944/x
  3. Step 3: Cross multiply
    55,096x = 118,944 × 118,944
  4. Step 4: Simplify right side
    55,096x = 14,147,675,136
  5. Step 5: Solve for x
    x = 14,147,675,136/55,096
  6. Step 6: Final answer
    x = 256,782.26

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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.