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Finding the Third Proportional to 57,392 and 76,975

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Solution

The third proportional to 57,392 and 76,975 is: 103,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,392 : 76,975 = 76,975 : x
  2. Step 2: Convert to fraction form
    57,392/76,975 = 76,975/x
  3. Step 3: Cross multiply
    57,392x = 76,975 × 76,975
  4. Step 4: Simplify right side
    57,392x = 5,925,150,625
  5. Step 5: Solve for x
    x = 5,925,150,625/57,392
  6. Step 6: Final answer
    x = 103,240.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.