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Finding the Third Proportional to 54,538 and 83,394

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Solution

The third proportional to 54,538 and 83,394 is: 127,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538 : 83,394 = 83,394 : x
  2. Step 2: Convert to fraction form
    54,538/83,394 = 83,394/x
  3. Step 3: Cross multiply
    54,538x = 83,394 × 83,394
  4. Step 4: Simplify right side
    54,538x = 6,954,559,236
  5. Step 5: Solve for x
    x = 6,954,559,236/54,538
  6. Step 6: Final answer
    x = 127,517.68

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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.