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Finding the Third Proportional to 53,615.67 and 116,057.65

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Solution

The third proportional to 53,615.67 and 116,057.65 is: 251,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,615.67 : 116,057.65 = 116,057.65 : x
  2. Step 2: Convert to fraction form
    53,615.67/116,057.65 = 116,057.65/x
  3. Step 3: Cross multiply
    53,615.67x = 116,057.65 × 116,057.65
  4. Step 4: Simplify right side
    53,615.67x = 13,469,379,120.89
  5. Step 5: Solve for x
    x = 13,469,379,120.89/53,615.67
  6. Step 6: Final answer
    x = 251,220.93

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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.