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Finding the Third Proportional to 74,904 and 160,824

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Solution

The third proportional to 74,904 and 160,824 is: 345,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,904 : 160,824 = 160,824 : x
  2. Step 2: Convert to fraction form
    74,904/160,824 = 160,824/x
  3. Step 3: Cross multiply
    74,904x = 160,824 × 160,824
  4. Step 4: Simplify right side
    74,904x = 25,864,358,976
  5. Step 5: Solve for x
    x = 25,864,358,976/74,904
  6. Step 6: Final answer
    x = 345,300.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.