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Finding the Third Proportional to 94,077 and 201,267

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Solution

The third proportional to 94,077 and 201,267 is: 430,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,077 : 201,267 = 201,267 : x
  2. Step 2: Convert to fraction form
    94,077/201,267 = 201,267/x
  3. Step 3: Cross multiply
    94,077x = 201,267 × 201,267
  4. Step 4: Simplify right side
    94,077x = 40,508,405,289
  5. Step 5: Solve for x
    x = 40,508,405,289/94,077
  6. Step 6: Final answer
    x = 430,587.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.