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Finding the Third Proportional to 123,486.75 and 180,839.25

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Solution

The third proportional to 123,486.75 and 180,839.25 is: 264,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,486.75 : 180,839.25 = 180,839.25 : x
  2. Step 2: Convert to fraction form
    123,486.75/180,839.25 = 180,839.25/x
  3. Step 3: Cross multiply
    123,486.75x = 180,839.25 × 180,839.25
  4. Step 4: Simplify right side
    123,486.75x = 32,702,834,340.56
  5. Step 5: Solve for x
    x = 32,702,834,340.56/123,486.75
  6. Step 6: Final answer
    x = 264,828.69

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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.