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Finding the Third Proportional to 53,394.50 and 117,447.50

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Solution

The third proportional to 53,394.50 and 117,447.50 is: 258,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,394.50 : 117,447.50 = 117,447.50 : x
  2. Step 2: Convert to fraction form
    53,394.50/117,447.50 = 117,447.50/x
  3. Step 3: Cross multiply
    53,394.50x = 117,447.50 × 117,447.50
  4. Step 4: Simplify right side
    53,394.50x = 13,793,915,256.25
  5. Step 5: Solve for x
    x = 13,793,915,256.25/53,394.50
  6. Step 6: Final answer
    x = 258,339.63

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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.