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Finding the Third Proportional to 122,148 and 194,292

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Solution

The third proportional to 122,148 and 194,292 is: 309,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,148 : 194,292 = 194,292 : x
  2. Step 2: Convert to fraction form
    122,148/194,292 = 194,292/x
  3. Step 3: Cross multiply
    122,148x = 194,292 × 194,292
  4. Step 4: Simplify right side
    122,148x = 37,749,381,264
  5. Step 5: Solve for x
    x = 37,749,381,264/122,148
  6. Step 6: Final answer
    x = 309,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.