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Finding the Third Proportional to 52,615.78 and 115,418.25

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Solution

The third proportional to 52,615.78 and 115,418.25 is: 253,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,615.78 : 115,418.25 = 115,418.25 : x
  2. Step 2: Convert to fraction form
    52,615.78/115,418.25 = 115,418.25/x
  3. Step 3: Cross multiply
    52,615.78x = 115,418.25 × 115,418.25
  4. Step 4: Simplify right side
    52,615.78x = 13,321,372,433.06
  5. Step 5: Solve for x
    x = 13,321,372,433.06/52,615.78
  6. Step 6: Final answer
    x = 253,182.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.