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Finding the Third Proportional to 48,540 and 73,152

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Solution

The third proportional to 48,540 and 73,152 is: 110,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,540 : 73,152 = 73,152 : x
  2. Step 2: Convert to fraction form
    48,540/73,152 = 73,152/x
  3. Step 3: Cross multiply
    48,540x = 73,152 × 73,152
  4. Step 4: Simplify right side
    48,540x = 5,351,215,104
  5. Step 5: Solve for x
    x = 5,351,215,104/48,540
  6. Step 6: Final answer
    x = 110,243.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.