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Finding the Third Proportional to 94,236 and 202,122

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Solution

The third proportional to 94,236 and 202,122 is: 433,521.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,236 : 202,122 = 202,122 : x
  2. Step 2: Convert to fraction form
    94,236/202,122 = 202,122/x
  3. Step 3: Cross multiply
    94,236x = 202,122 × 202,122
  4. Step 4: Simplify right side
    94,236x = 40,853,302,884
  5. Step 5: Solve for x
    x = 40,853,302,884/94,236
  6. Step 6: Final answer
    x = 433,521.19

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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.