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Finding the Third Proportional to 43,050 and 91,233

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Solution

The third proportional to 43,050 and 91,233 is: 193,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,050 : 91,233 = 91,233 : x
  2. Step 2: Convert to fraction form
    43,050/91,233 = 91,233/x
  3. Step 3: Cross multiply
    43,050x = 91,233 × 91,233
  4. Step 4: Simplify right side
    43,050x = 8,323,460,289
  5. Step 5: Solve for x
    x = 8,323,460,289/43,050
  6. Step 6: Final answer
    x = 193,344.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.