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Finding the Third Proportional to 48,533 and 106,150

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Solution

The third proportional to 48,533 and 106,150 is: 232,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,533 : 106,150 = 106,150 : x
  2. Step 2: Convert to fraction form
    48,533/106,150 = 106,150/x
  3. Step 3: Cross multiply
    48,533x = 106,150 × 106,150
  4. Step 4: Simplify right side
    48,533x = 11,267,822,500
  5. Step 5: Solve for x
    x = 11,267,822,500/48,533
  6. Step 6: Final answer
    x = 232,168.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.