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Finding the Third Proportional to 48,747 and 105,819

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Solution

The third proportional to 48,747 and 105,819 is: 229,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,747 : 105,819 = 105,819 : x
  2. Step 2: Convert to fraction form
    48,747/105,819 = 105,819/x
  3. Step 3: Cross multiply
    48,747x = 105,819 × 105,819
  4. Step 4: Simplify right side
    48,747x = 11,197,660,761
  5. Step 5: Solve for x
    x = 11,197,660,761/48,747
  6. Step 6: Final answer
    x = 229,709.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.