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Finding the Third Proportional to 133,061 and 200,972

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Solution

The third proportional to 133,061 and 200,972 is: 303,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,061 : 200,972 = 200,972 : x
  2. Step 2: Convert to fraction form
    133,061/200,972 = 200,972/x
  3. Step 3: Cross multiply
    133,061x = 200,972 × 200,972
  4. Step 4: Simplify right side
    133,061x = 40,389,744,784
  5. Step 5: Solve for x
    x = 40,389,744,784/133,061
  6. Step 6: Final answer
    x = 303,543.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.