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Finding the Third Proportional to 59,782.50 and 131,175

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Solution

The third proportional to 59,782.50 and 131,175 is: 287,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,782.50 : 131,175 = 131,175 : x
  2. Step 2: Convert to fraction form
    59,782.50/131,175 = 131,175/x
  3. Step 3: Cross multiply
    59,782.50x = 131,175 × 131,175
  4. Step 4: Simplify right side
    59,782.50x = 17,206,880,625
  5. Step 5: Solve for x
    x = 17,206,880,625/59,782.50
  6. Step 6: Final answer
    x = 287,824.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.