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Finding the Third Proportional to 54,950 and 118,660

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Solution

The third proportional to 54,950 and 118,660 is: 256,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950 : 118,660 = 118,660 : x
  2. Step 2: Convert to fraction form
    54,950/118,660 = 118,660/x
  3. Step 3: Cross multiply
    54,950x = 118,660 × 118,660
  4. Step 4: Simplify right side
    54,950x = 14,080,195,600
  5. Step 5: Solve for x
    x = 14,080,195,600/54,950
  6. Step 6: Final answer
    x = 256,236.50

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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.