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Finding the Third Proportional to 51,276.38 and 107,735.06

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Solution

The third proportional to 51,276.38 and 107,735.06 is: 226,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,276.38 : 107,735.06 = 107,735.06 : x
  2. Step 2: Convert to fraction form
    51,276.38/107,735.06 = 107,735.06/x
  3. Step 3: Cross multiply
    51,276.38x = 107,735.06 × 107,735.06
  4. Step 4: Simplify right side
    51,276.38x = 11,606,843,691.88
  5. Step 5: Solve for x
    x = 11,606,843,691.88/51,276.38
  6. Step 6: Final answer
    x = 226,358.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.