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Finding the Third Proportional to 130,022 and 194,175

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Solution

The third proportional to 130,022 and 194,175 is: 289,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,022 : 194,175 = 194,175 : x
  2. Step 2: Convert to fraction form
    130,022/194,175 = 194,175/x
  3. Step 3: Cross multiply
    130,022x = 194,175 × 194,175
  4. Step 4: Simplify right side
    130,022x = 37,703,930,625
  5. Step 5: Solve for x
    x = 37,703,930,625/130,022
  6. Step 6: Final answer
    x = 289,981.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.