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Finding the Third Proportional to 128,859.75 and 193,533.75

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Solution

The third proportional to 128,859.75 and 193,533.75 is: 290,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,859.75 : 193,533.75 = 193,533.75 : x
  2. Step 2: Convert to fraction form
    128,859.75/193,533.75 = 193,533.75/x
  3. Step 3: Cross multiply
    128,859.75x = 193,533.75 × 193,533.75
  4. Step 4: Simplify right side
    128,859.75x = 37,455,312,389.06
  5. Step 5: Solve for x
    x = 37,455,312,389.06/128,859.75
  6. Step 6: Final answer
    x = 290,667.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.