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Finding the Third Proportional to 125,124.75 and 269,922.38

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Solution

The third proportional to 125,124.75 and 269,922.38 is: 582,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,124.75 : 269,922.38 = 269,922.38 : x
  2. Step 2: Convert to fraction form
    125,124.75/269,922.38 = 269,922.38/x
  3. Step 3: Cross multiply
    125,124.75x = 269,922.38 × 269,922.38
  4. Step 4: Simplify right side
    125,124.75x = 72,858,088,525.64
  5. Step 5: Solve for x
    x = 72,858,088,525.64/125,124.75
  6. Step 6: Final answer
    x = 582,283.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.