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Finding the Third Proportional to 65,821 and 99,314

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Solution

The third proportional to 65,821 and 99,314 is: 149,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821 : 99,314 = 99,314 : x
  2. Step 2: Convert to fraction form
    65,821/99,314 = 99,314/x
  3. Step 3: Cross multiply
    65,821x = 99,314 × 99,314
  4. Step 4: Simplify right side
    65,821x = 9,863,270,596
  5. Step 5: Solve for x
    x = 9,863,270,596/65,821
  6. Step 6: Final answer
    x = 149,849.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.