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Finding the Third Proportional to 54,237.94 and 116,798.63

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Solution

The third proportional to 54,237.94 and 116,798.63 is: 251,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,237.94 : 116,798.63 = 116,798.63 : x
  2. Step 2: Convert to fraction form
    54,237.94/116,798.63 = 116,798.63/x
  3. Step 3: Cross multiply
    54,237.94x = 116,798.63 × 116,798.63
  4. Step 4: Simplify right side
    54,237.94x = 13,641,918,801.89
  5. Step 5: Solve for x
    x = 13,641,918,801.89/54,237.94
  6. Step 6: Final answer
    x = 251,519.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.