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Finding the Third Proportional to 65,923 and 145,292

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Solution

The third proportional to 65,923 and 145,292 is: 320,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,923 : 145,292 = 145,292 : x
  2. Step 2: Convert to fraction form
    65,923/145,292 = 145,292/x
  3. Step 3: Cross multiply
    65,923x = 145,292 × 145,292
  4. Step 4: Simplify right side
    65,923x = 21,109,765,264
  5. Step 5: Solve for x
    x = 21,109,765,264/65,923
  6. Step 6: Final answer
    x = 320,218.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.