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Finding the Third Proportional to 52,743.66 and 113,735.39

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Solution

The third proportional to 52,743.66 and 113,735.39 is: 245,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,743.66 : 113,735.39 = 113,735.39 : x
  2. Step 2: Convert to fraction form
    52,743.66/113,735.39 = 113,735.39/x
  3. Step 3: Cross multiply
    52,743.66x = 113,735.39 × 113,735.39
  4. Step 4: Simplify right side
    52,743.66x = 12,935,739,080.62
  5. Step 5: Solve for x
    x = 12,935,739,080.62/52,743.66
  6. Step 6: Final answer
    x = 245,256.78

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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.