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Finding the Third Proportional to 57,354.75 and 121,668.75

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Solution

The third proportional to 57,354.75 and 121,668.75 is: 258,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354.75 : 121,668.75 = 121,668.75 : x
  2. Step 2: Convert to fraction form
    57,354.75/121,668.75 = 121,668.75/x
  3. Step 3: Cross multiply
    57,354.75x = 121,668.75 × 121,668.75
  4. Step 4: Simplify right side
    57,354.75x = 14,803,284,726.56
  5. Step 5: Solve for x
    x = 14,803,284,726.56/57,354.75
  6. Step 6: Final answer
    x = 258,100.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.