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Finding the Third Proportional to 54,149 and 83,338

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Solution

The third proportional to 54,149 and 83,338 is: 128,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,149 : 83,338 = 83,338 : x
  2. Step 2: Convert to fraction form
    54,149/83,338 = 83,338/x
  3. Step 3: Cross multiply
    54,149x = 83,338 × 83,338
  4. Step 4: Simplify right side
    54,149x = 6,945,222,244
  5. Step 5: Solve for x
    x = 6,945,222,244/54,149
  6. Step 6: Final answer
    x = 128,261.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.