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Finding the Third Proportional to 94,814 and 203,121

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Solution

The third proportional to 94,814 and 203,121 is: 435,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,814 : 203,121 = 203,121 : x
  2. Step 2: Convert to fraction form
    94,814/203,121 = 203,121/x
  3. Step 3: Cross multiply
    94,814x = 203,121 × 203,121
  4. Step 4: Simplify right side
    94,814x = 41,258,140,641
  5. Step 5: Solve for x
    x = 41,258,140,641/94,814
  6. Step 6: Final answer
    x = 435,148.19

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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.