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Finding the Third Proportional to 57,394.50 and 134,025.56

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Solution

The third proportional to 57,394.50 and 134,025.56 is: 312,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,394.50 : 134,025.56 = 134,025.56 : x
  2. Step 2: Convert to fraction form
    57,394.50/134,025.56 = 134,025.56/x
  3. Step 3: Cross multiply
    57,394.50x = 134,025.56 × 134,025.56
  4. Step 4: Simplify right side
    57,394.50x = 17,962,851,403.44
  5. Step 5: Solve for x
    x = 17,962,851,403.44/57,394.50
  6. Step 6: Final answer
    x = 312,971.65

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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.