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Finding the Third Proportional to 74,034 and 113,883

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Solution

The third proportional to 74,034 and 113,883 is: 175,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034 : 113,883 = 113,883 : x
  2. Step 2: Convert to fraction form
    74,034/113,883 = 113,883/x
  3. Step 3: Cross multiply
    74,034x = 113,883 × 113,883
  4. Step 4: Simplify right side
    74,034x = 12,969,337,689
  5. Step 5: Solve for x
    x = 12,969,337,689/74,034
  6. Step 6: Final answer
    x = 175,180.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.