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Finding the Third Proportional to 94,662 and 201,954

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Solution

The third proportional to 94,662 and 201,954 is: 430,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,662 : 201,954 = 201,954 : x
  2. Step 2: Convert to fraction form
    94,662/201,954 = 201,954/x
  3. Step 3: Cross multiply
    94,662x = 201,954 × 201,954
  4. Step 4: Simplify right side
    94,662x = 40,785,418,116
  5. Step 5: Solve for x
    x = 40,785,418,116/94,662
  6. Step 6: Final answer
    x = 430,853.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.