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Finding the Third Proportional to 52,106 and 122,879

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Solution

The third proportional to 52,106 and 122,879 is: 289,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106 : 122,879 = 122,879 : x
  2. Step 2: Convert to fraction form
    52,106/122,879 = 122,879/x
  3. Step 3: Cross multiply
    52,106x = 122,879 × 122,879
  4. Step 4: Simplify right side
    52,106x = 15,099,248,641
  5. Step 5: Solve for x
    x = 15,099,248,641/52,106
  6. Step 6: Final answer
    x = 289,779.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.