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Finding the Third Proportional to 57,394.75 and 134,026

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Solution

The third proportional to 57,394.75 and 134,026 is: 312,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,394.75 : 134,026 = 134,026 : x
  2. Step 2: Convert to fraction form
    57,394.75/134,026 = 134,026/x
  3. Step 3: Cross multiply
    57,394.75x = 134,026 × 134,026
  4. Step 4: Simplify right side
    57,394.75x = 17,962,968,676
  5. Step 5: Solve for x
    x = 17,962,968,676/57,394.75
  6. Step 6: Final answer
    x = 312,972.33

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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.