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Finding the Third Proportional to 129,081.75 and 185,913.75

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Solution

The third proportional to 129,081.75 and 185,913.75 is: 267,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,081.75 : 185,913.75 = 185,913.75 : x
  2. Step 2: Convert to fraction form
    129,081.75/185,913.75 = 185,913.75/x
  3. Step 3: Cross multiply
    129,081.75x = 185,913.75 × 185,913.75
  4. Step 4: Simplify right side
    129,081.75x = 34,563,922,439.06
  5. Step 5: Solve for x
    x = 34,563,922,439.06/129,081.75
  6. Step 6: Final answer
    x = 267,767.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.