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Finding the Third Proportional to 134,604 and 188,604

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Solution

The third proportional to 134,604 and 188,604 is: 264,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,604 : 188,604 = 188,604 : x
  2. Step 2: Convert to fraction form
    134,604/188,604 = 188,604/x
  3. Step 3: Cross multiply
    134,604x = 188,604 × 188,604
  4. Step 4: Simplify right side
    134,604x = 35,571,468,816
  5. Step 5: Solve for x
    x = 35,571,468,816/134,604
  6. Step 6: Final answer
    x = 264,267.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.