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Finding the Third Proportional to 76,931.25 and 173,616.75

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Solution

The third proportional to 76,931.25 and 173,616.75 is: 391,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,931.25 : 173,616.75 = 173,616.75 : x
  2. Step 2: Convert to fraction form
    76,931.25/173,616.75 = 173,616.75/x
  3. Step 3: Cross multiply
    76,931.25x = 173,616.75 × 173,616.75
  4. Step 4: Simplify right side
    76,931.25x = 30,142,775,880.56
  5. Step 5: Solve for x
    x = 30,142,775,880.56/76,931.25
  6. Step 6: Final answer
    x = 391,814.46

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.