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Finding the Third Proportional to 53,615.67 and 115,227.56

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Solution

The third proportional to 53,615.67 and 115,227.56 is: 247,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,615.67 : 115,227.56 = 115,227.56 : x
  2. Step 2: Convert to fraction form
    53,615.67/115,227.56 = 115,227.56/x
  3. Step 3: Cross multiply
    53,615.67x = 115,227.56 × 115,227.56
  4. Step 4: Simplify right side
    53,615.67x = 13,277,391,159.69
  5. Step 5: Solve for x
    x = 13,277,391,159.69/53,615.67
  6. Step 6: Final answer
    x = 247,640.12

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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.