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Finding the Third Proportional to 90,772 and 143,175

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Solution

The third proportional to 90,772 and 143,175 is: 225,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,772 : 143,175 = 143,175 : x
  2. Step 2: Convert to fraction form
    90,772/143,175 = 143,175/x
  3. Step 3: Cross multiply
    90,772x = 143,175 × 143,175
  4. Step 4: Simplify right side
    90,772x = 20,499,080,625
  5. Step 5: Solve for x
    x = 20,499,080,625/90,772
  6. Step 6: Final answer
    x = 225,830.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.