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Finding the Third Proportional to 50,908.50 and 137,720.25

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Solution

The third proportional to 50,908.50 and 137,720.25 is: 372,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,908.50 : 137,720.25 = 137,720.25 : x
  2. Step 2: Convert to fraction form
    50,908.50/137,720.25 = 137,720.25/x
  3. Step 3: Cross multiply
    50,908.50x = 137,720.25 × 137,720.25
  4. Step 4: Simplify right side
    50,908.50x = 18,966,867,260.06
  5. Step 5: Solve for x
    x = 18,966,867,260.06/50,908.50
  6. Step 6: Final answer
    x = 372,567.79

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.