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Finding the Third Proportional to 53,216 and 79,824

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Solution

The third proportional to 53,216 and 79,824 is: 119,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,216 : 79,824 = 79,824 : x
  2. Step 2: Convert to fraction form
    53,216/79,824 = 79,824/x
  3. Step 3: Cross multiply
    53,216x = 79,824 × 79,824
  4. Step 4: Simplify right side
    53,216x = 6,371,870,976
  5. Step 5: Solve for x
    x = 6,371,870,976/53,216
  6. Step 6: Final answer
    x = 119,736

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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.