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Finding the Third Proportional to 54,886 and 82,914

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Solution

The third proportional to 54,886 and 82,914 is: 125,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,886 : 82,914 = 82,914 : x
  2. Step 2: Convert to fraction form
    54,886/82,914 = 82,914/x
  3. Step 3: Cross multiply
    54,886x = 82,914 × 82,914
  4. Step 4: Simplify right side
    54,886x = 6,874,731,396
  5. Step 5: Solve for x
    x = 6,874,731,396/54,886
  6. Step 6: Final answer
    x = 125,254.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.