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Finding the Third Proportional to 133,775 and 201,148

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Solution

The third proportional to 133,775 and 201,148 is: 302,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,775 : 201,148 = 201,148 : x
  2. Step 2: Convert to fraction form
    133,775/201,148 = 201,148/x
  3. Step 3: Cross multiply
    133,775x = 201,148 × 201,148
  4. Step 4: Simplify right side
    133,775x = 40,460,517,904
  5. Step 5: Solve for x
    x = 40,460,517,904/133,775
  6. Step 6: Final answer
    x = 302,452.01

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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.