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Finding the Third Proportional to 54,168 and 120,783

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Solution

The third proportional to 54,168 and 120,783 is: 269,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,168 : 120,783 = 120,783 : x
  2. Step 2: Convert to fraction form
    54,168/120,783 = 120,783/x
  3. Step 3: Cross multiply
    54,168x = 120,783 × 120,783
  4. Step 4: Simplify right side
    54,168x = 14,588,533,089
  5. Step 5: Solve for x
    x = 14,588,533,089/54,168
  6. Step 6: Final answer
    x = 269,320.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.