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Finding the Third Proportional to 65,526 and 89,667

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Solution

The third proportional to 65,526 and 89,667 is: 122,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,526 : 89,667 = 89,667 : x
  2. Step 2: Convert to fraction form
    65,526/89,667 = 89,667/x
  3. Step 3: Cross multiply
    65,526x = 89,667 × 89,667
  4. Step 4: Simplify right side
    65,526x = 8,040,170,889
  5. Step 5: Solve for x
    x = 8,040,170,889/65,526
  6. Step 6: Final answer
    x = 122,701.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.