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Finding the Third Proportional to 50,304.75 and 80,377.75

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Solution

The third proportional to 50,304.75 and 80,377.75 is: 128,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,304.75 : 80,377.75 = 80,377.75 : x
  2. Step 2: Convert to fraction form
    50,304.75/80,377.75 = 80,377.75/x
  3. Step 3: Cross multiply
    50,304.75x = 80,377.75 × 80,377.75
  4. Step 4: Simplify right side
    50,304.75x = 6,460,582,695.06
  5. Step 5: Solve for x
    x = 6,460,582,695.06/50,304.75
  6. Step 6: Final answer
    x = 128,428.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.