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Finding the Third Proportional to 43,454 and 65,667

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Solution

The third proportional to 43,454 and 65,667 is: 99,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,454 : 65,667 = 65,667 : x
  2. Step 2: Convert to fraction form
    43,454/65,667 = 65,667/x
  3. Step 3: Cross multiply
    43,454x = 65,667 × 65,667
  4. Step 4: Simplify right side
    43,454x = 4,312,154,889
  5. Step 5: Solve for x
    x = 4,312,154,889/43,454
  6. Step 6: Final answer
    x = 99,234.94

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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.