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Finding the Third Proportional to 41,175 and 88,590

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Solution

The third proportional to 41,175 and 88,590 is: 190,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,175 : 88,590 = 88,590 : x
  2. Step 2: Convert to fraction form
    41,175/88,590 = 88,590/x
  3. Step 3: Cross multiply
    41,175x = 88,590 × 88,590
  4. Step 4: Simplify right side
    41,175x = 7,848,188,100
  5. Step 5: Solve for x
    x = 7,848,188,100/41,175
  6. Step 6: Final answer
    x = 190,605.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.