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Finding the Third Proportional to 54,292 and 114,416

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Solution

The third proportional to 54,292 and 114,416 is: 241,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,292 : 114,416 = 114,416 : x
  2. Step 2: Convert to fraction form
    54,292/114,416 = 114,416/x
  3. Step 3: Cross multiply
    54,292x = 114,416 × 114,416
  4. Step 4: Simplify right side
    54,292x = 13,091,021,056
  5. Step 5: Solve for x
    x = 13,091,021,056/54,292
  6. Step 6: Final answer
    x = 241,122.47

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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.