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Finding the Third Proportional to 116,667 and 174,964

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Solution

The third proportional to 116,667 and 174,964 is: 262,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,667 : 174,964 = 174,964 : x
  2. Step 2: Convert to fraction form
    116,667/174,964 = 174,964/x
  3. Step 3: Cross multiply
    116,667x = 174,964 × 174,964
  4. Step 4: Simplify right side
    116,667x = 30,612,401,296
  5. Step 5: Solve for x
    x = 30,612,401,296/116,667
  6. Step 6: Final answer
    x = 262,391.26

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