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Finding the Third Proportional to 43,295 and 65,069

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Solution

The third proportional to 43,295 and 65,069 is: 97,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,295 : 65,069 = 65,069 : x
  2. Step 2: Convert to fraction form
    43,295/65,069 = 65,069/x
  3. Step 3: Cross multiply
    43,295x = 65,069 × 65,069
  4. Step 4: Simplify right side
    43,295x = 4,233,974,761
  5. Step 5: Solve for x
    x = 4,233,974,761/43,295
  6. Step 6: Final answer
    x = 97,793.62

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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.