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Finding the Third Proportional to 123,481.13 and 180,832.50

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Solution

The third proportional to 123,481.13 and 180,832.50 is: 264,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,481.13 : 180,832.50 = 180,832.50 : x
  2. Step 2: Convert to fraction form
    123,481.13/180,832.50 = 180,832.50/x
  3. Step 3: Cross multiply
    123,481.13x = 180,832.50 × 180,832.50
  4. Step 4: Simplify right side
    123,481.13x = 32,700,393,056.25
  5. Step 5: Solve for x
    x = 32,700,393,056.25/123,481.13
  6. Step 6: Final answer
    x = 264,820.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.