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Finding the Third Proportional to 133,131 and 201,083

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Solution

The third proportional to 133,131 and 201,083 is: 303,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,131 : 201,083 = 201,083 : x
  2. Step 2: Convert to fraction form
    133,131/201,083 = 201,083/x
  3. Step 3: Cross multiply
    133,131x = 201,083 × 201,083
  4. Step 4: Simplify right side
    133,131x = 40,434,372,889
  5. Step 5: Solve for x
    x = 40,434,372,889/133,131
  6. Step 6: Final answer
    x = 303,718.69

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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.