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Finding the Third Proportional to 133,063 and 200,975

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Solution

The third proportional to 133,063 and 200,975 is: 303,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,063 : 200,975 = 200,975 : x
  2. Step 2: Convert to fraction form
    133,063/200,975 = 200,975/x
  3. Step 3: Cross multiply
    133,063x = 200,975 × 200,975
  4. Step 4: Simplify right side
    133,063x = 40,390,950,625
  5. Step 5: Solve for x
    x = 40,390,950,625/133,063
  6. Step 6: Final answer
    x = 303,547.57

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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.