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Finding the Third Proportional to 74,896 and 100,824

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Solution

The third proportional to 74,896 and 100,824 is: 135,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,896 : 100,824 = 100,824 : x
  2. Step 2: Convert to fraction form
    74,896/100,824 = 100,824/x
  3. Step 3: Cross multiply
    74,896x = 100,824 × 100,824
  4. Step 4: Simplify right side
    74,896x = 10,165,478,976
  5. Step 5: Solve for x
    x = 10,165,478,976/74,896
  6. Step 6: Final answer
    x = 135,727.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.