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Finding the Third Proportional to 128,103.19 and 271,968.75

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Solution

The third proportional to 128,103.19 and 271,968.75 is: 577,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,103.19 : 271,968.75 = 271,968.75 : x
  2. Step 2: Convert to fraction form
    128,103.19/271,968.75 = 271,968.75/x
  3. Step 3: Cross multiply
    128,103.19x = 271,968.75 × 271,968.75
  4. Step 4: Simplify right side
    128,103.19x = 73,967,000,976.56
  5. Step 5: Solve for x
    x = 73,967,000,976.56/128,103.19
  6. Step 6: Final answer
    x = 577,401.72

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.