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Finding the Third Proportional to 57,728 and 92,221

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Solution

The third proportional to 57,728 and 92,221 is: 147,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,728 : 92,221 = 92,221 : x
  2. Step 2: Convert to fraction form
    57,728/92,221 = 92,221/x
  3. Step 3: Cross multiply
    57,728x = 92,221 × 92,221
  4. Step 4: Simplify right side
    57,728x = 8,504,712,841
  5. Step 5: Solve for x
    x = 8,504,712,841/57,728
  6. Step 6: Final answer
    x = 147,323.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.