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Finding the Third Proportional to 74,880 and 164,736

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Solution

The third proportional to 74,880 and 164,736 is: 362,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,880 : 164,736 = 164,736 : x
  2. Step 2: Convert to fraction form
    74,880/164,736 = 164,736/x
  3. Step 3: Cross multiply
    74,880x = 164,736 × 164,736
  4. Step 4: Simplify right side
    74,880x = 27,137,949,696
  5. Step 5: Solve for x
    x = 27,137,949,696/74,880
  6. Step 6: Final answer
    x = 362,419.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.