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Finding the Third Proportional to 57,050 and 75,713

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Solution

The third proportional to 57,050 and 75,713 is: 100,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,050 : 75,713 = 75,713 : x
  2. Step 2: Convert to fraction form
    57,050/75,713 = 75,713/x
  3. Step 3: Cross multiply
    57,050x = 75,713 × 75,713
  4. Step 4: Simplify right side
    57,050x = 5,732,458,369
  5. Step 5: Solve for x
    x = 5,732,458,369/57,050
  6. Step 6: Final answer
    x = 100,481.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.