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Finding the Third Proportional to 129,613.88 and 269,574.09

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Solution

The third proportional to 129,613.88 and 269,574.09 is: 560,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,613.88 : 269,574.09 = 269,574.09 : x
  2. Step 2: Convert to fraction form
    129,613.88/269,574.09 = 269,574.09/x
  3. Step 3: Cross multiply
    129,613.88x = 269,574.09 × 269,574.09
  4. Step 4: Simplify right side
    129,613.88x = 72,670,192,021.13
  5. Step 5: Solve for x
    x = 72,670,192,021.13/129,613.88
  6. Step 6: Final answer
    x = 560,666.77

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