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Finding the Third Proportional to 122,208.75 and 182,619

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Solution

The third proportional to 122,208.75 and 182,619 is: 272,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,208.75 : 182,619 = 182,619 : x
  2. Step 2: Convert to fraction form
    122,208.75/182,619 = 182,619/x
  3. Step 3: Cross multiply
    122,208.75x = 182,619 × 182,619
  4. Step 4: Simplify right side
    122,208.75x = 33,349,699,161
  5. Step 5: Solve for x
    x = 33,349,699,161/122,208.75
  6. Step 6: Final answer
    x = 272,891.26

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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.