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Finding the Third Proportional to 129,836.04 and 194,235.07

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Solution

The third proportional to 129,836.04 and 194,235.07 is: 290,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,836.04 : 194,235.07 = 194,235.07 : x
  2. Step 2: Convert to fraction form
    129,836.04/194,235.07 = 194,235.07/x
  3. Step 3: Cross multiply
    129,836.04x = 194,235.07 × 194,235.07
  4. Step 4: Simplify right side
    129,836.04x = 37,727,263,677.40
  5. Step 5: Solve for x
    x = 37,727,263,677.40/129,836.04
  6. Step 6: Final answer
    x = 290,576.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.