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Finding the Third Proportional to 54,180 and 83,396.25

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Solution

The third proportional to 54,180 and 83,396.25 is: 128,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,180 : 83,396.25 = 83,396.25 : x
  2. Step 2: Convert to fraction form
    54,180/83,396.25 = 83,396.25/x
  3. Step 3: Cross multiply
    54,180x = 83,396.25 × 83,396.25
  4. Step 4: Simplify right side
    54,180x = 6,954,934,514.06
  5. Step 5: Solve for x
    x = 6,954,934,514.06/54,180
  6. Step 6: Final answer
    x = 128,367.19

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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.