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Finding the Third Proportional to 48,067 and 102,776

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Solution

The third proportional to 48,067 and 102,776 is: 219,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,067 : 102,776 = 102,776 : x
  2. Step 2: Convert to fraction form
    48,067/102,776 = 102,776/x
  3. Step 3: Cross multiply
    48,067x = 102,776 × 102,776
  4. Step 4: Simplify right side
    48,067x = 10,562,906,176
  5. Step 5: Solve for x
    x = 10,562,906,176/48,067
  6. Step 6: Final answer
    x = 219,753.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.