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Finding the Third Proportional to 54,333.75 and 83,113.88

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Solution

The third proportional to 54,333.75 and 83,113.88 is: 127,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,333.75 : 83,113.88 = 83,113.88 : x
  2. Step 2: Convert to fraction form
    54,333.75/83,113.88 = 83,113.88/x
  3. Step 3: Cross multiply
    54,333.75x = 83,113.88 × 83,113.88
  4. Step 4: Simplify right side
    54,333.75x = 6,907,916,217.52
  5. Step 5: Solve for x
    x = 6,907,916,217.52/54,333.75
  6. Step 6: Final answer
    x = 127,138.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.