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Finding the Third Proportional to 54,080 and 117,292

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Solution

The third proportional to 54,080 and 117,292 is: 254,390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,080 : 117,292 = 117,292 : x
  2. Step 2: Convert to fraction form
    54,080/117,292 = 117,292/x
  3. Step 3: Cross multiply
    54,080x = 117,292 × 117,292
  4. Step 4: Simplify right side
    54,080x = 13,757,413,264
  5. Step 5: Solve for x
    x = 13,757,413,264/54,080
  6. Step 6: Final answer
    x = 254,390.04

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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.