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Finding the Third Proportional to 43,369 and 65,054

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Solution

The third proportional to 43,369 and 65,054 is: 97,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,369 : 65,054 = 65,054 : x
  2. Step 2: Convert to fraction form
    43,369/65,054 = 65,054/x
  3. Step 3: Cross multiply
    43,369x = 65,054 × 65,054
  4. Step 4: Simplify right side
    43,369x = 4,232,022,916
  5. Step 5: Solve for x
    x = 4,232,022,916/43,369
  6. Step 6: Final answer
    x = 97,581.75

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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.