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Finding the Third Proportional to 122,235.75 and 194,491.13

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Solution

The third proportional to 122,235.75 and 194,491.13 is: 309,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,235.75 : 194,491.13 = 194,491.13 : x
  2. Step 2: Convert to fraction form
    122,235.75/194,491.13 = 194,491.13/x
  3. Step 3: Cross multiply
    122,235.75x = 194,491.13 × 194,491.13
  4. Step 4: Simplify right side
    122,235.75x = 37,826,797,703.77
  5. Step 5: Solve for x
    x = 37,826,797,703.77/122,235.75
  6. Step 6: Final answer
    x = 309,457.73

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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.