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Finding the Third Proportional to 57,773 and 86,422

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Solution

The third proportional to 57,773 and 86,422 is: 129,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,773 : 86,422 = 86,422 : x
  2. Step 2: Convert to fraction form
    57,773/86,422 = 86,422/x
  3. Step 3: Cross multiply
    57,773x = 86,422 × 86,422
  4. Step 4: Simplify right side
    57,773x = 7,468,762,084
  5. Step 5: Solve for x
    x = 7,468,762,084/57,773
  6. Step 6: Final answer
    x = 129,277.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.