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Finding the Third Proportional to 122,481 and 183,721.50

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Solution

The third proportional to 122,481 and 183,721.50 is: 275,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,481 : 183,721.50 = 183,721.50 : x
  2. Step 2: Convert to fraction form
    122,481/183,721.50 = 183,721.50/x
  3. Step 3: Cross multiply
    122,481x = 183,721.50 × 183,721.50
  4. Step 4: Simplify right side
    122,481x = 33,753,589,562.25
  5. Step 5: Solve for x
    x = 33,753,589,562.25/122,481
  6. Step 6: Final answer
    x = 275,582.25

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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.