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Finding the Third Proportional to 92,039 and 187,948

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Solution

The third proportional to 92,039 and 187,948 is: 383,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,039 : 187,948 = 187,948 : x
  2. Step 2: Convert to fraction form
    92,039/187,948 = 187,948/x
  3. Step 3: Cross multiply
    92,039x = 187,948 × 187,948
  4. Step 4: Simplify right side
    92,039x = 35,324,450,704
  5. Step 5: Solve for x
    x = 35,324,450,704/92,039
  6. Step 6: Final answer
    x = 383,798.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.