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Finding the Third Proportional to 73,980 and 163,764

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Solution

The third proportional to 73,980 and 163,764 is: 362,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980 : 163,764 = 163,764 : x
  2. Step 2: Convert to fraction form
    73,980/163,764 = 163,764/x
  3. Step 3: Cross multiply
    73,980x = 163,764 × 163,764
  4. Step 4: Simplify right side
    73,980x = 26,818,647,696
  5. Step 5: Solve for x
    x = 26,818,647,696/73,980
  6. Step 6: Final answer
    x = 362,512.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.