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Finding the Third Proportional to 54,836 and 118,128

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Solution

The third proportional to 54,836 and 118,128 is: 254,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,836 : 118,128 = 118,128 : x
  2. Step 2: Convert to fraction form
    54,836/118,128 = 118,128/x
  3. Step 3: Cross multiply
    54,836x = 118,128 × 118,128
  4. Step 4: Simplify right side
    54,836x = 13,954,224,384
  5. Step 5: Solve for x
    x = 13,954,224,384/54,836
  6. Step 6: Final answer
    x = 254,471.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.