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Finding the Third Proportional to 54,686 and 116,955

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Solution

The third proportional to 54,686 and 116,955 is: 250,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,686 : 116,955 = 116,955 : x
  2. Step 2: Convert to fraction form
    54,686/116,955 = 116,955/x
  3. Step 3: Cross multiply
    54,686x = 116,955 × 116,955
  4. Step 4: Simplify right side
    54,686x = 13,678,472,025
  5. Step 5: Solve for x
    x = 13,678,472,025/54,686
  6. Step 6: Final answer
    x = 250,127.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.