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Finding the Third Proportional to 114,930 and 168,021

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Solution

The third proportional to 114,930 and 168,021 is: 245,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,930 : 168,021 = 168,021 : x
  2. Step 2: Convert to fraction form
    114,930/168,021 = 168,021/x
  3. Step 3: Cross multiply
    114,930x = 168,021 × 168,021
  4. Step 4: Simplify right side
    114,930x = 28,231,056,441
  5. Step 5: Solve for x
    x = 28,231,056,441/114,930
  6. Step 6: Final answer
    x = 245,636.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.