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Finding the Third Proportional to 54,080 and 117,284

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Solution

The third proportional to 54,080 and 117,284 is: 254,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,080 : 117,284 = 117,284 : x
  2. Step 2: Convert to fraction form
    54,080/117,284 = 117,284/x
  3. Step 3: Cross multiply
    54,080x = 117,284 × 117,284
  4. Step 4: Simplify right side
    54,080x = 13,755,536,656
  5. Step 5: Solve for x
    x = 13,755,536,656/54,080
  6. Step 6: Final answer
    x = 254,355.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.