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Finding the Third Proportional to 134,103 and 279,225

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Solution

The third proportional to 134,103 and 279,225 is: 581,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,103 : 279,225 = 279,225 : x
  2. Step 2: Convert to fraction form
    134,103/279,225 = 279,225/x
  3. Step 3: Cross multiply
    134,103x = 279,225 × 279,225
  4. Step 4: Simplify right side
    134,103x = 77,966,600,625
  5. Step 5: Solve for x
    x = 77,966,600,625/134,103
  6. Step 6: Final answer
    x = 581,393.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.