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Finding the Third Proportional to 48,362 and 102,530

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Solution

The third proportional to 48,362 and 102,530 is: 217,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,362 : 102,530 = 102,530 : x
  2. Step 2: Convert to fraction form
    48,362/102,530 = 102,530/x
  3. Step 3: Cross multiply
    48,362x = 102,530 × 102,530
  4. Step 4: Simplify right side
    48,362x = 10,512,400,900
  5. Step 5: Solve for x
    x = 10,512,400,900/48,362
  6. Step 6: Final answer
    x = 217,369.03

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Why These Related Problems?

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