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Finding the Third Proportional to 60,765 and 126,369.75

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Solution

The third proportional to 60,765 and 126,369.75 is: 262,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,765 : 126,369.75 = 126,369.75 : x
  2. Step 2: Convert to fraction form
    60,765/126,369.75 = 126,369.75/x
  3. Step 3: Cross multiply
    60,765x = 126,369.75 × 126,369.75
  4. Step 4: Simplify right side
    60,765x = 15,969,313,715.06
  5. Step 5: Solve for x
    x = 15,969,313,715.06/60,765
  6. Step 6: Final answer
    x = 262,804.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.