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Finding the Third Proportional to 50,220.84 and 75,979.27

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Solution

The third proportional to 50,220.84 and 75,979.27 is: 114,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,220.84 : 75,979.27 = 75,979.27 : x
  2. Step 2: Convert to fraction form
    50,220.84/75,979.27 = 75,979.27/x
  3. Step 3: Cross multiply
    50,220.84x = 75,979.27 × 75,979.27
  4. Step 4: Simplify right side
    50,220.84x = 5,772,848,804.91
  5. Step 5: Solve for x
    x = 5,772,848,804.91/50,220.84
  6. Step 6: Final answer
    x = 114,949.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.