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Finding the Third Proportional to 121,833 and 194,414

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Solution

The third proportional to 121,833 and 194,414 is: 310,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,833 : 194,414 = 194,414 : x
  2. Step 2: Convert to fraction form
    121,833/194,414 = 194,414/x
  3. Step 3: Cross multiply
    121,833x = 194,414 × 194,414
  4. Step 4: Simplify right side
    121,833x = 37,796,803,396
  5. Step 5: Solve for x
    x = 37,796,803,396/121,833
  6. Step 6: Final answer
    x = 310,234.53

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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.