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Finding the Third Proportional to 117,004 and 188,426

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Solution

The third proportional to 117,004 and 188,426 is: 303,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,004 : 188,426 = 188,426 : x
  2. Step 2: Convert to fraction form
    117,004/188,426 = 188,426/x
  3. Step 3: Cross multiply
    117,004x = 188,426 × 188,426
  4. Step 4: Simplify right side
    117,004x = 35,504,357,476
  5. Step 5: Solve for x
    x = 35,504,357,476/117,004
  6. Step 6: Final answer
    x = 303,445.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.