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Finding the Third Proportional to 129,016.13 and 273,705.75

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Solution

The third proportional to 129,016.13 and 273,705.75 is: 580,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,016.13 : 273,705.75 = 273,705.75 : x
  2. Step 2: Convert to fraction form
    129,016.13/273,705.75 = 273,705.75/x
  3. Step 3: Cross multiply
    129,016.13x = 273,705.75 × 273,705.75
  4. Step 4: Simplify right side
    129,016.13x = 74,914,837,583.06
  5. Step 5: Solve for x
    x = 74,914,837,583.06/129,016.13
  6. Step 6: Final answer
    x = 580,662.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.