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Finding the Third Proportional to 122,816.25 and 183,470.06

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Solution

The third proportional to 122,816.25 and 183,470.06 is: 274,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,816.25 : 183,470.06 = 183,470.06 : x
  2. Step 2: Convert to fraction form
    122,816.25/183,470.06 = 183,470.06/x
  3. Step 3: Cross multiply
    122,816.25x = 183,470.06 × 183,470.06
  4. Step 4: Simplify right side
    122,816.25x = 33,661,263,833.75
  5. Step 5: Solve for x
    x = 33,661,263,833.75/122,816.25
  6. Step 6: Final answer
    x = 274,078.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.