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Finding the Third Proportional to 51,886 and 82,596

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Solution

The third proportional to 51,886 and 82,596 is: 131,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,886 : 82,596 = 82,596 : x
  2. Step 2: Convert to fraction form
    51,886/82,596 = 82,596/x
  3. Step 3: Cross multiply
    51,886x = 82,596 × 82,596
  4. Step 4: Simplify right side
    51,886x = 6,822,099,216
  5. Step 5: Solve for x
    x = 6,822,099,216/51,886
  6. Step 6: Final answer
    x = 131,482.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.