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Finding the Third Proportional to 52,743.66 and 115,500.94

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Solution

The third proportional to 52,743.66 and 115,500.94 is: 252,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,743.66 : 115,500.94 = 115,500.94 : x
  2. Step 2: Convert to fraction form
    52,743.66/115,500.94 = 115,500.94/x
  3. Step 3: Cross multiply
    52,743.66x = 115,500.94 × 115,500.94
  4. Step 4: Simplify right side
    52,743.66x = 13,340,466,563.38
  5. Step 5: Solve for x
    x = 13,340,466,563.38/52,743.66
  6. Step 6: Final answer
    x = 252,930.26

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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.