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Finding the Third Proportional to 75,354 and 163,824

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Solution

The third proportional to 75,354 and 163,824 is: 356,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,354 : 163,824 = 163,824 : x
  2. Step 2: Convert to fraction form
    75,354/163,824 = 163,824/x
  3. Step 3: Cross multiply
    75,354x = 163,824 × 163,824
  4. Step 4: Simplify right side
    75,354x = 26,838,302,976
  5. Step 5: Solve for x
    x = 26,838,302,976/75,354
  6. Step 6: Final answer
    x = 356,162.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.