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Finding the Third Proportional to 122,928.75 and 189,852.38

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Solution

The third proportional to 122,928.75 and 189,852.38 is: 293,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,928.75 : 189,852.38 = 189,852.38 : x
  2. Step 2: Convert to fraction form
    122,928.75/189,852.38 = 189,852.38/x
  3. Step 3: Cross multiply
    122,928.75x = 189,852.38 × 189,852.38
  4. Step 4: Simplify right side
    122,928.75x = 36,043,924,293.14
  5. Step 5: Solve for x
    x = 36,043,924,293.14/122,928.75
  6. Step 6: Final answer
    x = 293,209.88

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