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Finding the Third Proportional to 129,147.75 and 273,685.50

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Solution

The third proportional to 129,147.75 and 273,685.50 is: 579,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,147.75 : 273,685.50 = 273,685.50 : x
  2. Step 2: Convert to fraction form
    129,147.75/273,685.50 = 273,685.50/x
  3. Step 3: Cross multiply
    129,147.75x = 273,685.50 × 273,685.50
  4. Step 4: Simplify right side
    129,147.75x = 74,903,752,910.25
  5. Step 5: Solve for x
    x = 74,903,752,910.25/129,147.75
  6. Step 6: Final answer
    x = 579,984.96

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