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Finding the Third Proportional to 54,739 and 118,475

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Solution

The third proportional to 54,739 and 118,475 is: 256,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,739 : 118,475 = 118,475 : x
  2. Step 2: Convert to fraction form
    54,739/118,475 = 118,475/x
  3. Step 3: Cross multiply
    54,739x = 118,475 × 118,475
  4. Step 4: Simplify right side
    54,739x = 14,036,325,625
  5. Step 5: Solve for x
    x = 14,036,325,625/54,739
  6. Step 6: Final answer
    x = 256,422.76

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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.