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Finding the Third Proportional to 121,936 and 183,228

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Solution

The third proportional to 121,936 and 183,228 is: 275,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,936 : 183,228 = 183,228 : x
  2. Step 2: Convert to fraction form
    121,936/183,228 = 183,228/x
  3. Step 3: Cross multiply
    121,936x = 183,228 × 183,228
  4. Step 4: Simplify right side
    121,936x = 33,572,499,984
  5. Step 5: Solve for x
    x = 33,572,499,984/121,936
  6. Step 6: Final answer
    x = 275,328.86

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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.