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Finding the Third Proportional to 47,667 and 94,135.50

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Solution

The third proportional to 47,667 and 94,135.50 is: 185,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,667 : 94,135.50 = 94,135.50 : x
  2. Step 2: Convert to fraction form
    47,667/94,135.50 = 94,135.50/x
  3. Step 3: Cross multiply
    47,667x = 94,135.50 × 94,135.50
  4. Step 4: Simplify right side
    47,667x = 8,861,492,360.25
  5. Step 5: Solve for x
    x = 8,861,492,360.25/47,667
  6. Step 6: Final answer
    x = 185,904.13

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.