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Finding the Third Proportional to 51,868 and 82,338

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Solution

The third proportional to 51,868 and 82,338 is: 130,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,868 : 82,338 = 82,338 : x
  2. Step 2: Convert to fraction form
    51,868/82,338 = 82,338/x
  3. Step 3: Cross multiply
    51,868x = 82,338 × 82,338
  4. Step 4: Simplify right side
    51,868x = 6,779,546,244
  5. Step 5: Solve for x
    x = 6,779,546,244/51,868
  6. Step 6: Final answer
    x = 130,707.69

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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.