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Finding the Third Proportional to 48,376 and 101,648

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Solution

The third proportional to 48,376 and 101,648 is: 213,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,376 : 101,648 = 101,648 : x
  2. Step 2: Convert to fraction form
    48,376/101,648 = 101,648/x
  3. Step 3: Cross multiply
    48,376x = 101,648 × 101,648
  4. Step 4: Simplify right side
    48,376x = 10,332,315,904
  5. Step 5: Solve for x
    x = 10,332,315,904/48,376
  6. Step 6: Final answer
    x = 213,583.51

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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.