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Finding the Third Proportional to 81,216 and 121,824

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Solution

The third proportional to 81,216 and 121,824 is: 182,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,216 : 121,824 = 121,824 : x
  2. Step 2: Convert to fraction form
    81,216/121,824 = 121,824/x
  3. Step 3: Cross multiply
    81,216x = 121,824 × 121,824
  4. Step 4: Simplify right side
    81,216x = 14,841,086,976
  5. Step 5: Solve for x
    x = 14,841,086,976/81,216
  6. Step 6: Final answer
    x = 182,736

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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.