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Finding the Third Proportional to 54,358.50 and 119,752.50

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Solution

The third proportional to 54,358.50 and 119,752.50 is: 263,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,358.50 : 119,752.50 = 119,752.50 : x
  2. Step 2: Convert to fraction form
    54,358.50/119,752.50 = 119,752.50/x
  3. Step 3: Cross multiply
    54,358.50x = 119,752.50 × 119,752.50
  4. Step 4: Simplify right side
    54,358.50x = 14,340,661,256.25
  5. Step 5: Solve for x
    x = 14,340,661,256.25/54,358.50
  6. Step 6: Final answer
    x = 263,816.35

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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.