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Finding the Third Proportional to 123,275 and 180,525

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Solution

The third proportional to 123,275 and 180,525 is: 264,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,275 : 180,525 = 180,525 : x
  2. Step 2: Convert to fraction form
    123,275/180,525 = 180,525/x
  3. Step 3: Cross multiply
    123,275x = 180,525 × 180,525
  4. Step 4: Simplify right side
    123,275x = 32,589,275,625
  5. Step 5: Solve for x
    x = 32,589,275,625/123,275
  6. Step 6: Final answer
    x = 264,362.41

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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.