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Finding the Third Proportional to 51,482.25 and 94,421.25

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Solution

The third proportional to 51,482.25 and 94,421.25 is: 173,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,482.25 : 94,421.25 = 94,421.25 : x
  2. Step 2: Convert to fraction form
    51,482.25/94,421.25 = 94,421.25/x
  3. Step 3: Cross multiply
    51,482.25x = 94,421.25 × 94,421.25
  4. Step 4: Simplify right side
    51,482.25x = 8,915,372,451.56
  5. Step 5: Solve for x
    x = 8,915,372,451.56/51,482.25
  6. Step 6: Final answer
    x = 173,173.71

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.