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Finding the Third Proportional to 36,282 and 76,916

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Solution

The third proportional to 36,282 and 76,916 is: 163,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,282 : 76,916 = 76,916 : x
  2. Step 2: Convert to fraction form
    36,282/76,916 = 76,916/x
  3. Step 3: Cross multiply
    36,282x = 76,916 × 76,916
  4. Step 4: Simplify right side
    36,282x = 5,916,071,056
  5. Step 5: Solve for x
    x = 5,916,071,056/36,282
  6. Step 6: Final answer
    x = 163,058.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.