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Finding the Third Proportional to 54,055 and 118,292

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Solution

The third proportional to 54,055 and 118,292 is: 258,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,055 : 118,292 = 118,292 : x
  2. Step 2: Convert to fraction form
    54,055/118,292 = 118,292/x
  3. Step 3: Cross multiply
    54,055x = 118,292 × 118,292
  4. Step 4: Simplify right side
    54,055x = 13,992,997,264
  5. Step 5: Solve for x
    x = 13,992,997,264/54,055
  6. Step 6: Final answer
    x = 258,865.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.