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Finding the Third Proportional to 122,169.75 and 188,783.25

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Solution

The third proportional to 122,169.75 and 188,783.25 is: 291,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,169.75 : 188,783.25 = 188,783.25 : x
  2. Step 2: Convert to fraction form
    122,169.75/188,783.25 = 188,783.25/x
  3. Step 3: Cross multiply
    122,169.75x = 188,783.25 × 188,783.25
  4. Step 4: Simplify right side
    122,169.75x = 35,639,115,480.56
  5. Step 5: Solve for x
    x = 35,639,115,480.56/122,169.75
  6. Step 6: Final answer
    x = 291,718.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.