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Finding the Third Proportional to 54,093 and 83,195.50

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Solution

The third proportional to 54,093 and 83,195.50 is: 127,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,093 : 83,195.50 = 83,195.50 : x
  2. Step 2: Convert to fraction form
    54,093/83,195.50 = 83,195.50/x
  3. Step 3: Cross multiply
    54,093x = 83,195.50 × 83,195.50
  4. Step 4: Simplify right side
    54,093x = 6,921,491,220.25
  5. Step 5: Solve for x
    x = 6,921,491,220.25/54,093
  6. Step 6: Final answer
    x = 127,955.40

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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.