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Finding the Third Proportional to 37,038 and 76,542

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Solution

The third proportional to 37,038 and 76,542 is: 158,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038 : 76,542 = 76,542 : x
  2. Step 2: Convert to fraction form
    37,038/76,542 = 76,542/x
  3. Step 3: Cross multiply
    37,038x = 76,542 × 76,542
  4. Step 4: Simplify right side
    37,038x = 5,858,677,764
  5. Step 5: Solve for x
    x = 5,858,677,764/37,038
  6. Step 6: Final answer
    x = 158,180.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.