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Finding the Third Proportional to 54,771 and 88,181

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Solution

The third proportional to 54,771 and 88,181 is: 141,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,771 : 88,181 = 88,181 : x
  2. Step 2: Convert to fraction form
    54,771/88,181 = 88,181/x
  3. Step 3: Cross multiply
    54,771x = 88,181 × 88,181
  4. Step 4: Simplify right side
    54,771x = 7,775,888,761
  5. Step 5: Solve for x
    x = 7,775,888,761/54,771
  6. Step 6: Final answer
    x = 141,970.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.