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Finding the Third Proportional to 54,197.44 and 83,409.75

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Solution

The third proportional to 54,197.44 and 83,409.75 is: 128,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,197.44 : 83,409.75 = 83,409.75 : x
  2. Step 2: Convert to fraction form
    54,197.44/83,409.75 = 83,409.75/x
  3. Step 3: Cross multiply
    54,197.44x = 83,409.75 × 83,409.75
  4. Step 4: Simplify right side
    54,197.44x = 6,957,186,395.06
  5. Step 5: Solve for x
    x = 6,957,186,395.06/54,197.44
  6. Step 6: Final answer
    x = 128,367.44

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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.