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Finding the Third Proportional to 94,014 and 201,135

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Solution

The third proportional to 94,014 and 201,135 is: 430,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,014 : 201,135 = 201,135 : x
  2. Step 2: Convert to fraction form
    94,014/201,135 = 201,135/x
  3. Step 3: Cross multiply
    94,014x = 201,135 × 201,135
  4. Step 4: Simplify right side
    94,014x = 40,455,288,225
  5. Step 5: Solve for x
    x = 40,455,288,225/94,014
  6. Step 6: Final answer
    x = 430,311.32

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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.