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Finding the Third Proportional to 133,055 and 200,963

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Solution

The third proportional to 133,055 and 200,963 is: 303,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,055 : 200,963 = 200,963 : x
  2. Step 2: Convert to fraction form
    133,055/200,963 = 200,963/x
  3. Step 3: Cross multiply
    133,055x = 200,963 × 200,963
  4. Step 4: Simplify right side
    133,055x = 40,386,127,369
  5. Step 5: Solve for x
    x = 40,386,127,369/133,055
  6. Step 6: Final answer
    x = 303,529.57

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Why These Related Problems?

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