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Finding the Third Proportional to 48,524 and 106,071

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Solution

The third proportional to 48,524 and 106,071 is: 231,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,524 : 106,071 = 106,071 : x
  2. Step 2: Convert to fraction form
    48,524/106,071 = 106,071/x
  3. Step 3: Cross multiply
    48,524x = 106,071 × 106,071
  4. Step 4: Simplify right side
    48,524x = 11,251,057,041
  5. Step 5: Solve for x
    x = 11,251,057,041/48,524
  6. Step 6: Final answer
    x = 231,865.82

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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.