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Finding the Third Proportional to 54,849 and 118,693

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Solution

The third proportional to 54,849 and 118,693 is: 256,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,849 : 118,693 = 118,693 : x
  2. Step 2: Convert to fraction form
    54,849/118,693 = 118,693/x
  3. Step 3: Cross multiply
    54,849x = 118,693 × 118,693
  4. Step 4: Simplify right side
    54,849x = 14,088,028,249
  5. Step 5: Solve for x
    x = 14,088,028,249/54,849
  6. Step 6: Final answer
    x = 256,851.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.