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Finding the Third Proportional to 57,374 and 134,093

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Solution

The third proportional to 57,374 and 134,093 is: 313,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,374 : 134,093 = 134,093 : x
  2. Step 2: Convert to fraction form
    57,374/134,093 = 134,093/x
  3. Step 3: Cross multiply
    57,374x = 134,093 × 134,093
  4. Step 4: Simplify right side
    57,374x = 17,980,932,649
  5. Step 5: Solve for x
    x = 17,980,932,649/57,374
  6. Step 6: Final answer
    x = 313,398.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.