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Finding the Third Proportional to 42,979 and 65,704

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Solution

The third proportional to 42,979 and 65,704 is: 100,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,979 : 65,704 = 65,704 : x
  2. Step 2: Convert to fraction form
    42,979/65,704 = 65,704/x
  3. Step 3: Cross multiply
    42,979x = 65,704 × 65,704
  4. Step 4: Simplify right side
    42,979x = 4,317,015,616
  5. Step 5: Solve for x
    x = 4,317,015,616/42,979
  6. Step 6: Final answer
    x = 100,444.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.