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Finding the Third Proportional to 54,344 and 83,137

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Solution

The third proportional to 54,344 and 83,137 is: 127,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,344 : 83,137 = 83,137 : x
  2. Step 2: Convert to fraction form
    54,344/83,137 = 83,137/x
  3. Step 3: Cross multiply
    54,344x = 83,137 × 83,137
  4. Step 4: Simplify right side
    54,344x = 6,911,760,769
  5. Step 5: Solve for x
    x = 6,911,760,769/54,344
  6. Step 6: Final answer
    x = 127,185.35

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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.