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Finding the Third Proportional to 112,430 and 149,667

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Solution

The third proportional to 112,430 and 149,667 is: 199,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,430 : 149,667 = 149,667 : x
  2. Step 2: Convert to fraction form
    112,430/149,667 = 149,667/x
  3. Step 3: Cross multiply
    112,430x = 149,667 × 149,667
  4. Step 4: Simplify right side
    112,430x = 22,400,210,889
  5. Step 5: Solve for x
    x = 22,400,210,889/112,430
  6. Step 6: Final answer
    x = 199,236.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.