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Finding the Third Proportional to 48,559.50 and 105,945

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Solution

The third proportional to 48,559.50 and 105,945 is: 231,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,559.50 : 105,945 = 105,945 : x
  2. Step 2: Convert to fraction form
    48,559.50/105,945 = 105,945/x
  3. Step 3: Cross multiply
    48,559.50x = 105,945 × 105,945
  4. Step 4: Simplify right side
    48,559.50x = 11,224,343,025
  5. Step 5: Solve for x
    x = 11,224,343,025/48,559.50
  6. Step 6: Final answer
    x = 231,146.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.