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Finding the Third Proportional to 129,104 and 279,654.50

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Solution

The third proportional to 129,104 and 279,654.50 is: 605,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,104 : 279,654.50 = 279,654.50 : x
  2. Step 2: Convert to fraction form
    129,104/279,654.50 = 279,654.50/x
  3. Step 3: Cross multiply
    129,104x = 279,654.50 × 279,654.50
  4. Step 4: Simplify right side
    129,104x = 78,206,639,370.25
  5. Step 5: Solve for x
    x = 78,206,639,370.25/129,104
  6. Step 6: Final answer
    x = 605,764.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.