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Finding the Third Proportional to 54,737 and 82,503

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Solution

The third proportional to 54,737 and 82,503 is: 124,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737 : 82,503 = 82,503 : x
  2. Step 2: Convert to fraction form
    54,737/82,503 = 82,503/x
  3. Step 3: Cross multiply
    54,737x = 82,503 × 82,503
  4. Step 4: Simplify right side
    54,737x = 6,806,745,009
  5. Step 5: Solve for x
    x = 6,806,745,009/54,737
  6. Step 6: Final answer
    x = 124,353.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.