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Finding the Third Proportional to 133,771.50 and 201,143.25

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Solution

The third proportional to 133,771.50 and 201,143.25 is: 302,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,771.50 : 201,143.25 = 201,143.25 : x
  2. Step 2: Convert to fraction form
    133,771.50/201,143.25 = 201,143.25/x
  3. Step 3: Cross multiply
    133,771.50x = 201,143.25 × 201,143.25
  4. Step 4: Simplify right side
    133,771.50x = 40,458,607,020.56
  5. Step 5: Solve for x
    x = 40,458,607,020.56/133,771.50
  6. Step 6: Final answer
    x = 302,445.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.