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Finding the Third Proportional to 54,646 and 118,768

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Solution

The third proportional to 54,646 and 118,768 is: 258,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,646 : 118,768 = 118,768 : x
  2. Step 2: Convert to fraction form
    54,646/118,768 = 118,768/x
  3. Step 3: Cross multiply
    54,646x = 118,768 × 118,768
  4. Step 4: Simplify right side
    54,646x = 14,105,837,824
  5. Step 5: Solve for x
    x = 14,105,837,824/54,646
  6. Step 6: Final answer
    x = 258,131.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.