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Finding the Third Proportional to 123,348 and 184,536

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Solution

The third proportional to 123,348 and 184,536 is: 276,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,348 : 184,536 = 184,536 : x
  2. Step 2: Convert to fraction form
    123,348/184,536 = 184,536/x
  3. Step 3: Cross multiply
    123,348x = 184,536 × 184,536
  4. Step 4: Simplify right side
    123,348x = 34,053,535,296
  5. Step 5: Solve for x
    x = 34,053,535,296/123,348
  6. Step 6: Final answer
    x = 276,076.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.