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Finding the Third Proportional to 50,278.88 and 80,031.75

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Solution

The third proportional to 50,278.88 and 80,031.75 is: 127,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,278.88 : 80,031.75 = 80,031.75 : x
  2. Step 2: Convert to fraction form
    50,278.88/80,031.75 = 80,031.75/x
  3. Step 3: Cross multiply
    50,278.88x = 80,031.75 × 80,031.75
  4. Step 4: Simplify right side
    50,278.88x = 6,405,081,008.06
  5. Step 5: Solve for x
    x = 6,405,081,008.06/50,278.88
  6. Step 6: Final answer
    x = 127,391.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.