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Finding the Third Proportional to 48,132 and 102,912

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Solution

The third proportional to 48,132 and 102,912 is: 220,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,132 : 102,912 = 102,912 : x
  2. Step 2: Convert to fraction form
    48,132/102,912 = 102,912/x
  3. Step 3: Cross multiply
    48,132x = 102,912 × 102,912
  4. Step 4: Simplify right side
    48,132x = 10,590,879,744
  5. Step 5: Solve for x
    x = 10,590,879,744/48,132
  6. Step 6: Final answer
    x = 220,038.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.