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Finding the Third Proportional to 54,284 and 114,400

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Solution

The third proportional to 54,284 and 114,400 is: 241,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,284 : 114,400 = 114,400 : x
  2. Step 2: Convert to fraction form
    54,284/114,400 = 114,400/x
  3. Step 3: Cross multiply
    54,284x = 114,400 × 114,400
  4. Step 4: Simplify right side
    54,284x = 13,087,360,000
  5. Step 5: Solve for x
    x = 13,087,360,000/54,284
  6. Step 6: Final answer
    x = 241,090.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.