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Finding the Third Proportional to 74,594 and 113,839

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Solution

The third proportional to 74,594 and 113,839 is: 173,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,594 : 113,839 = 113,839 : x
  2. Step 2: Convert to fraction form
    74,594/113,839 = 113,839/x
  3. Step 3: Cross multiply
    74,594x = 113,839 × 113,839
  4. Step 4: Simplify right side
    74,594x = 12,959,317,921
  5. Step 5: Solve for x
    x = 12,959,317,921/74,594
  6. Step 6: Final answer
    x = 173,731.37

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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.