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Finding the Third Proportional to 121,606 and 194,264

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Solution

The third proportional to 121,606 and 194,264 is: 310,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,606 : 194,264 = 194,264 : x
  2. Step 2: Convert to fraction form
    121,606/194,264 = 194,264/x
  3. Step 3: Cross multiply
    121,606x = 194,264 × 194,264
  4. Step 4: Simplify right side
    121,606x = 37,738,501,696
  5. Step 5: Solve for x
    x = 37,738,501,696/121,606
  6. Step 6: Final answer
    x = 310,334.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.