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Finding the Third Proportional to 53,004.38 and 115,211.25

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Solution

The third proportional to 53,004.38 and 115,211.25 is: 250,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,004.38 : 115,211.25 = 115,211.25 : x
  2. Step 2: Convert to fraction form
    53,004.38/115,211.25 = 115,211.25/x
  3. Step 3: Cross multiply
    53,004.38x = 115,211.25 × 115,211.25
  4. Step 4: Simplify right side
    53,004.38x = 13,273,632,126.56
  5. Step 5: Solve for x
    x = 13,273,632,126.56/53,004.38
  6. Step 6: Final answer
    x = 250,425.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.