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Finding the Third Proportional to 115,021 and 174,601

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Solution

The third proportional to 115,021 and 174,601 is: 265,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,021 : 174,601 = 174,601 : x
  2. Step 2: Convert to fraction form
    115,021/174,601 = 174,601/x
  3. Step 3: Cross multiply
    115,021x = 174,601 × 174,601
  4. Step 4: Simplify right side
    115,021x = 30,485,509,201
  5. Step 5: Solve for x
    x = 30,485,509,201/115,021
  6. Step 6: Final answer
    x = 265,042.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.