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Finding the Third Proportional to 54,690 and 116,963

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Solution

The third proportional to 54,690 and 116,963 is: 250,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,690 : 116,963 = 116,963 : x
  2. Step 2: Convert to fraction form
    54,690/116,963 = 116,963/x
  3. Step 3: Cross multiply
    54,690x = 116,963 × 116,963
  4. Step 4: Simplify right side
    54,690x = 13,680,343,369
  5. Step 5: Solve for x
    x = 13,680,343,369/54,690
  6. Step 6: Final answer
    x = 250,143.42

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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.