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Finding the Third Proportional to 85,719.75 and 126,093.75

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Solution

The third proportional to 85,719.75 and 126,093.75 is: 185,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,719.75 : 126,093.75 = 126,093.75 : x
  2. Step 2: Convert to fraction form
    85,719.75/126,093.75 = 126,093.75/x
  3. Step 3: Cross multiply
    85,719.75x = 126,093.75 × 126,093.75
  4. Step 4: Simplify right side
    85,719.75x = 15,899,633,789.06
  5. Step 5: Solve for x
    x = 15,899,633,789.06/85,719.75
  6. Step 6: Final answer
    x = 185,483.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.