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Finding the Third Proportional to 122,133 and 194,283

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Solution

The third proportional to 122,133 and 194,283 is: 309,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,133 : 194,283 = 194,283 : x
  2. Step 2: Convert to fraction form
    122,133/194,283 = 194,283/x
  3. Step 3: Cross multiply
    122,133x = 194,283 × 194,283
  4. Step 4: Simplify right side
    122,133x = 37,745,884,089
  5. Step 5: Solve for x
    x = 37,745,884,089/122,133
  6. Step 6: Final answer
    x = 309,055.57

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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.