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Finding the Third Proportional to 124,456.50 and 273,105

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Solution

The third proportional to 124,456.50 and 273,105 is: 599,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,456.50 : 273,105 = 273,105 : x
  2. Step 2: Convert to fraction form
    124,456.50/273,105 = 273,105/x
  3. Step 3: Cross multiply
    124,456.50x = 273,105 × 273,105
  4. Step 4: Simplify right side
    124,456.50x = 74,586,341,025
  5. Step 5: Solve for x
    x = 74,586,341,025/124,456.50
  6. Step 6: Final answer
    x = 599,296.47

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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.