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Finding the Third Proportional to 54,955 and 118,442

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Solution

The third proportional to 54,955 and 118,442 is: 255,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,955 : 118,442 = 118,442 : x
  2. Step 2: Convert to fraction form
    54,955/118,442 = 118,442/x
  3. Step 3: Cross multiply
    54,955x = 118,442 × 118,442
  4. Step 4: Simplify right side
    54,955x = 14,028,507,364
  5. Step 5: Solve for x
    x = 14,028,507,364/54,955
  6. Step 6: Final answer
    x = 255,272.63

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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.