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Finding the Third Proportional to 55,100 and 118,946

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Solution

The third proportional to 55,100 and 118,946 is: 256,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,100 : 118,946 = 118,946 : x
  2. Step 2: Convert to fraction form
    55,100/118,946 = 118,946/x
  3. Step 3: Cross multiply
    55,100x = 118,946 × 118,946
  4. Step 4: Simplify right side
    55,100x = 14,148,150,916
  5. Step 5: Solve for x
    x = 14,148,150,916/55,100
  6. Step 6: Final answer
    x = 256,772.25

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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.