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Finding the Third Proportional to 50,042.25 and 109,928.25

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Solution

The third proportional to 50,042.25 and 109,928.25 is: 241,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,042.25 : 109,928.25 = 109,928.25 : x
  2. Step 2: Convert to fraction form
    50,042.25/109,928.25 = 109,928.25/x
  3. Step 3: Cross multiply
    50,042.25x = 109,928.25 × 109,928.25
  4. Step 4: Simplify right side
    50,042.25x = 12,084,220,148.06
  5. Step 5: Solve for x
    x = 12,084,220,148.06/50,042.25
  6. Step 6: Final answer
    x = 241,480.35

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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.