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Finding the Third Proportional to 58,208.34 and 127,846.97

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Solution

The third proportional to 58,208.34 and 127,846.97 is: 280,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,208.34 : 127,846.97 = 127,846.97 : x
  2. Step 2: Convert to fraction form
    58,208.34/127,846.97 = 127,846.97/x
  3. Step 3: Cross multiply
    58,208.34x = 127,846.97 × 127,846.97
  4. Step 4: Simplify right side
    58,208.34x = 16,344,847,418.56
  5. Step 5: Solve for x
    x = 16,344,847,418.56/58,208.34
  6. Step 6: Final answer
    x = 280,799.05

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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.