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Finding the Third Proportional to 54,790 and 116,641

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Solution

The third proportional to 54,790 and 116,641 is: 248,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,790 : 116,641 = 116,641 : x
  2. Step 2: Convert to fraction form
    54,790/116,641 = 116,641/x
  3. Step 3: Cross multiply
    54,790x = 116,641 × 116,641
  4. Step 4: Simplify right side
    54,790x = 13,605,122,881
  5. Step 5: Solve for x
    x = 13,605,122,881/54,790
  6. Step 6: Final answer
    x = 248,313.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.