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Finding the Third Proportional to 122,050 and 262,828

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Solution

The third proportional to 122,050 and 262,828 is: 565,985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,050 : 262,828 = 262,828 : x
  2. Step 2: Convert to fraction form
    122,050/262,828 = 262,828/x
  3. Step 3: Cross multiply
    122,050x = 262,828 × 262,828
  4. Step 4: Simplify right side
    122,050x = 69,078,557,584
  5. Step 5: Solve for x
    x = 69,078,557,584/122,050
  6. Step 6: Final answer
    x = 565,985.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.