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Finding the Third Proportional to 54,733.22 and 118,462.29

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Solution

The third proportional to 54,733.22 and 118,462.29 is: 256,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,733.22 : 118,462.29 = 118,462.29 : x
  2. Step 2: Convert to fraction form
    54,733.22/118,462.29 = 118,462.29/x
  3. Step 3: Cross multiply
    54,733.22x = 118,462.29 × 118,462.29
  4. Step 4: Simplify right side
    54,733.22x = 14,033,313,929.93
  5. Step 5: Solve for x
    x = 14,033,313,929.93/54,733.22
  6. Step 6: Final answer
    x = 256,394.82

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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.