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Finding the Third Proportional to 122,928.75 and 189,851.25

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Solution

The third proportional to 122,928.75 and 189,851.25 is: 293,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,928.75 : 189,851.25 = 189,851.25 : x
  2. Step 2: Convert to fraction form
    122,928.75/189,851.25 = 189,851.25/x
  3. Step 3: Cross multiply
    122,928.75x = 189,851.25 × 189,851.25
  4. Step 4: Simplify right side
    122,928.75x = 36,043,497,126.56
  5. Step 5: Solve for x
    x = 36,043,497,126.56/122,928.75
  6. Step 6: Final answer
    x = 293,206.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.