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Finding the Third Proportional to 28,165 and 59,916

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Solution

The third proportional to 28,165 and 59,916 is: 127,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,165 : 59,916 = 59,916 : x
  2. Step 2: Convert to fraction form
    28,165/59,916 = 59,916/x
  3. Step 3: Cross multiply
    28,165x = 59,916 × 59,916
  4. Step 4: Simplify right side
    28,165x = 3,589,927,056
  5. Step 5: Solve for x
    x = 3,589,927,056/28,165
  6. Step 6: Final answer
    x = 127,460.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.