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Finding the Third Proportional to 54,283.50 and 119,612.25

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Solution

The third proportional to 54,283.50 and 119,612.25 is: 263,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,283.50 : 119,612.25 = 119,612.25 : x
  2. Step 2: Convert to fraction form
    54,283.50/119,612.25 = 119,612.25/x
  3. Step 3: Cross multiply
    54,283.50x = 119,612.25 × 119,612.25
  4. Step 4: Simplify right side
    54,283.50x = 14,307,090,350.06
  5. Step 5: Solve for x
    x = 14,307,090,350.06/54,283.50
  6. Step 6: Final answer
    x = 263,562.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.