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Finding the Third Proportional to 54,080 and 116,208

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Solution

The third proportional to 54,080 and 116,208 is: 249,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,080 : 116,208 = 116,208 : x
  2. Step 2: Convert to fraction form
    54,080/116,208 = 116,208/x
  3. Step 3: Cross multiply
    54,080x = 116,208 × 116,208
  4. Step 4: Simplify right side
    54,080x = 13,504,299,264
  5. Step 5: Solve for x
    x = 13,504,299,264/54,080
  6. Step 6: Final answer
    x = 249,709.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.