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Finding the Third Proportional to 48,532 and 106,819

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Solution

The third proportional to 48,532 and 106,819 is: 235,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,532 : 106,819 = 106,819 : x
  2. Step 2: Convert to fraction form
    48,532/106,819 = 106,819/x
  3. Step 3: Cross multiply
    48,532x = 106,819 × 106,819
  4. Step 4: Simplify right side
    48,532x = 11,410,298,761
  5. Step 5: Solve for x
    x = 11,410,298,761/48,532
  6. Step 6: Final answer
    x = 235,108.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.