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Finding the Third Proportional to 30,194 and 66,214

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Solution

The third proportional to 30,194 and 66,214 is: 145,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194 : 66,214 = 66,214 : x
  2. Step 2: Convert to fraction form
    30,194/66,214 = 66,214/x
  3. Step 3: Cross multiply
    30,194x = 66,214 × 66,214
  4. Step 4: Simplify right side
    30,194x = 4,384,293,796
  5. Step 5: Solve for x
    x = 4,384,293,796/30,194
  6. Step 6: Final answer
    x = 145,204.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.