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Finding the Third Proportional to 91,832.63 and 140,467.50

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Solution

The third proportional to 91,832.63 and 140,467.50 is: 214,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,832.63 : 140,467.50 = 140,467.50 : x
  2. Step 2: Convert to fraction form
    91,832.63/140,467.50 = 140,467.50/x
  3. Step 3: Cross multiply
    91,832.63x = 140,467.50 × 140,467.50
  4. Step 4: Simplify right side
    91,832.63x = 19,731,118,556.25
  5. Step 5: Solve for x
    x = 19,731,118,556.25/91,832.63
  6. Step 6: Final answer
    x = 214,859.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.