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Finding the Third Proportional to 40,922 and 88,288

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Solution

The third proportional to 40,922 and 88,288 is: 190,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,922 : 88,288 = 88,288 : x
  2. Step 2: Convert to fraction form
    40,922/88,288 = 88,288/x
  3. Step 3: Cross multiply
    40,922x = 88,288 × 88,288
  4. Step 4: Simplify right side
    40,922x = 7,794,770,944
  5. Step 5: Solve for x
    x = 7,794,770,944/40,922
  6. Step 6: Final answer
    x = 190,478.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.