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Finding the Third Proportional to 121,824 and 182,232

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Solution

The third proportional to 121,824 and 182,232 is: 272,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,824 : 182,232 = 182,232 : x
  2. Step 2: Convert to fraction form
    121,824/182,232 = 182,232/x
  3. Step 3: Cross multiply
    121,824x = 182,232 × 182,232
  4. Step 4: Simplify right side
    121,824x = 33,208,501,824
  5. Step 5: Solve for x
    x = 33,208,501,824/121,824
  6. Step 6: Final answer
    x = 272,594.09

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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.