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Finding the Third Proportional to 54,914 and 85,251

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Solution

The third proportional to 54,914 and 85,251 is: 132,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,914 : 85,251 = 85,251 : x
  2. Step 2: Convert to fraction form
    54,914/85,251 = 85,251/x
  3. Step 3: Cross multiply
    54,914x = 85,251 × 85,251
  4. Step 4: Simplify right side
    54,914x = 7,267,733,001
  5. Step 5: Solve for x
    x = 7,267,733,001/54,914
  6. Step 6: Final answer
    x = 132,347.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.