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Finding the Third Proportional to 123,480 and 184,485

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Solution

The third proportional to 123,480 and 184,485 is: 275,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,480 : 184,485 = 184,485 : x
  2. Step 2: Convert to fraction form
    123,480/184,485 = 184,485/x
  3. Step 3: Cross multiply
    123,480x = 184,485 × 184,485
  4. Step 4: Simplify right side
    123,480x = 34,034,715,225
  5. Step 5: Solve for x
    x = 34,034,715,225/123,480
  6. Step 6: Final answer
    x = 275,629.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.