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Finding the Third Proportional to 54,195.75 and 83,406.75

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Solution

The third proportional to 54,195.75 and 83,406.75 is: 128,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,195.75 : 83,406.75 = 83,406.75 : x
  2. Step 2: Convert to fraction form
    54,195.75/83,406.75 = 83,406.75/x
  3. Step 3: Cross multiply
    54,195.75x = 83,406.75 × 83,406.75
  4. Step 4: Simplify right side
    54,195.75x = 6,956,685,945.56
  5. Step 5: Solve for x
    x = 6,956,685,945.56/54,195.75
  6. Step 6: Final answer
    x = 128,362.20

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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.