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Finding the Third Proportional to 94,972 and 203,120

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Solution

The third proportional to 94,972 and 203,120 is: 434,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,972 : 203,120 = 203,120 : x
  2. Step 2: Convert to fraction form
    94,972/203,120 = 203,120/x
  3. Step 3: Cross multiply
    94,972x = 203,120 × 203,120
  4. Step 4: Simplify right side
    94,972x = 41,257,734,400
  5. Step 5: Solve for x
    x = 41,257,734,400/94,972
  6. Step 6: Final answer
    x = 434,419.98

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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.