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Finding the Third Proportional to 94,973 and 203,122

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Solution

The third proportional to 94,973 and 203,122 is: 434,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,973 : 203,122 = 203,122 : x
  2. Step 2: Convert to fraction form
    94,973/203,122 = 203,122/x
  3. Step 3: Cross multiply
    94,973x = 203,122 × 203,122
  4. Step 4: Simplify right side
    94,973x = 41,258,546,884
  5. Step 5: Solve for x
    x = 41,258,546,884/94,973
  6. Step 6: Final answer
    x = 434,423.96

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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.