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Finding the Third Proportional to 48,378 and 101,652

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Solution

The third proportional to 48,378 and 101,652 is: 213,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,378 : 101,652 = 101,652 : x
  2. Step 2: Convert to fraction form
    48,378/101,652 = 101,652/x
  3. Step 3: Cross multiply
    48,378x = 101,652 × 101,652
  4. Step 4: Simplify right side
    48,378x = 10,333,129,104
  5. Step 5: Solve for x
    x = 10,333,129,104/48,378
  6. Step 6: Final answer
    x = 213,591.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.