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Finding the Third Proportional to 135,983 and 194,737

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Solution

The third proportional to 135,983 and 194,737 is: 278,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,983 : 194,737 = 194,737 : x
  2. Step 2: Convert to fraction form
    135,983/194,737 = 194,737/x
  3. Step 3: Cross multiply
    135,983x = 194,737 × 194,737
  4. Step 4: Simplify right side
    135,983x = 37,922,499,169
  5. Step 5: Solve for x
    x = 37,922,499,169/135,983
  6. Step 6: Final answer
    x = 278,876.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.