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Finding the Third Proportional to 54,086.91 and 118,353.23

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Solution

The third proportional to 54,086.91 and 118,353.23 is: 258,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,086.91 : 118,353.23 = 118,353.23 : x
  2. Step 2: Convert to fraction form
    54,086.91/118,353.23 = 118,353.23/x
  3. Step 3: Cross multiply
    54,086.91x = 118,353.23 × 118,353.23
  4. Step 4: Simplify right side
    54,086.91x = 14,007,488,087.02
  5. Step 5: Solve for x
    x = 14,007,488,087.02/54,086.91
  6. Step 6: Final answer
    x = 258,981.13

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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.