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Finding the Third Proportional to 129,992.50 and 270,191

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Solution

The third proportional to 129,992.50 and 270,191 is: 561,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,992.50 : 270,191 = 270,191 : x
  2. Step 2: Convert to fraction form
    129,992.50/270,191 = 270,191/x
  3. Step 3: Cross multiply
    129,992.50x = 270,191 × 270,191
  4. Step 4: Simplify right side
    129,992.50x = 73,003,176,481
  5. Step 5: Solve for x
    x = 73,003,176,481/129,992.50
  6. Step 6: Final answer
    x = 561,595.30

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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.