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Finding the Third Proportional to 69,324 and 141,933

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Solution

The third proportional to 69,324 and 141,933 is: 290,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,324 : 141,933 = 141,933 : x
  2. Step 2: Convert to fraction form
    69,324/141,933 = 141,933/x
  3. Step 3: Cross multiply
    69,324x = 141,933 × 141,933
  4. Step 4: Simplify right side
    69,324x = 20,144,976,489
  5. Step 5: Solve for x
    x = 20,144,976,489/69,324
  6. Step 6: Final answer
    x = 290,591.66

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.