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Finding the Third Proportional to 115,022 and 168,665

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Solution

The third proportional to 115,022 and 168,665 is: 247,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,022 : 168,665 = 168,665 : x
  2. Step 2: Convert to fraction form
    115,022/168,665 = 168,665/x
  3. Step 3: Cross multiply
    115,022x = 168,665 × 168,665
  4. Step 4: Simplify right side
    115,022x = 28,447,882,225
  5. Step 5: Solve for x
    x = 28,447,882,225/115,022
  6. Step 6: Final answer
    x = 247,325.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.