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Finding the Third Proportional to 94,138 and 201,404

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Solution

The third proportional to 94,138 and 201,404 is: 430,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,138 : 201,404 = 201,404 : x
  2. Step 2: Convert to fraction form
    94,138/201,404 = 201,404/x
  3. Step 3: Cross multiply
    94,138x = 201,404 × 201,404
  4. Step 4: Simplify right side
    94,138x = 40,563,571,216
  5. Step 5: Solve for x
    x = 40,563,571,216/94,138
  6. Step 6: Final answer
    x = 430,894.76

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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.