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Finding the Third Proportional to 23,160 and 54,152

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Solution

The third proportional to 23,160 and 54,152 is: 126,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,160 : 54,152 = 54,152 : x
  2. Step 2: Convert to fraction form
    23,160/54,152 = 54,152/x
  3. Step 3: Cross multiply
    23,160x = 54,152 × 54,152
  4. Step 4: Simplify right side
    23,160x = 2,932,439,104
  5. Step 5: Solve for x
    x = 2,932,439,104/23,160
  6. Step 6: Final answer
    x = 126,616.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.