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Finding the Third Proportional to 48,574.50 and 105,049.13

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Solution

The third proportional to 48,574.50 and 105,049.13 is: 227,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,574.50 : 105,049.13 = 105,049.13 : x
  2. Step 2: Convert to fraction form
    48,574.50/105,049.13 = 105,049.13/x
  3. Step 3: Cross multiply
    48,574.50x = 105,049.13 × 105,049.13
  4. Step 4: Simplify right side
    48,574.50x = 11,035,318,663.27
  5. Step 5: Solve for x
    x = 11,035,318,663.27/48,574.50
  6. Step 6: Final answer
    x = 227,183.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.