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Finding the Third Proportional to 54,636 and 119,826

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Solution

The third proportional to 54,636 and 119,826 is: 262,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,636 : 119,826 = 119,826 : x
  2. Step 2: Convert to fraction form
    54,636/119,826 = 119,826/x
  3. Step 3: Cross multiply
    54,636x = 119,826 × 119,826
  4. Step 4: Simplify right side
    54,636x = 14,358,270,276
  5. Step 5: Solve for x
    x = 14,358,270,276/54,636
  6. Step 6: Final answer
    x = 262,798.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.