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Finding the Third Proportional to 129,085.50 and 279,615

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Solution

The third proportional to 129,085.50 and 279,615 is: 605,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,085.50 : 279,615 = 279,615 : x
  2. Step 2: Convert to fraction form
    129,085.50/279,615 = 279,615/x
  3. Step 3: Cross multiply
    129,085.50x = 279,615 × 279,615
  4. Step 4: Simplify right side
    129,085.50x = 78,184,548,225
  5. Step 5: Solve for x
    x = 78,184,548,225/129,085.50
  6. Step 6: Final answer
    x = 605,680.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.