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Finding the Third Proportional to 48,229 and 75,104

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Solution

The third proportional to 48,229 and 75,104 is: 116,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,229 : 75,104 = 75,104 : x
  2. Step 2: Convert to fraction form
    48,229/75,104 = 75,104/x
  3. Step 3: Cross multiply
    48,229x = 75,104 × 75,104
  4. Step 4: Simplify right side
    48,229x = 5,640,610,816
  5. Step 5: Solve for x
    x = 5,640,610,816/48,229
  6. Step 6: Final answer
    x = 116,954.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.