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Finding the Third Proportional to 54,753 and 118,243.50

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Solution

The third proportional to 54,753 and 118,243.50 is: 255,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,753 : 118,243.50 = 118,243.50 : x
  2. Step 2: Convert to fraction form
    54,753/118,243.50 = 118,243.50/x
  3. Step 3: Cross multiply
    54,753x = 118,243.50 × 118,243.50
  4. Step 4: Simplify right side
    54,753x = 13,981,525,292.25
  5. Step 5: Solve for x
    x = 13,981,525,292.25/54,753
  6. Step 6: Final answer
    x = 255,356.33

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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.