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Finding the Third Proportional to 43,134 and 65,429

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Solution

The third proportional to 43,134 and 65,429 is: 99,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,134 : 65,429 = 65,429 : x
  2. Step 2: Convert to fraction form
    43,134/65,429 = 65,429/x
  3. Step 3: Cross multiply
    43,134x = 65,429 × 65,429
  4. Step 4: Simplify right side
    43,134x = 4,280,954,041
  5. Step 5: Solve for x
    x = 4,280,954,041/43,134
  6. Step 6: Final answer
    x = 99,247.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.