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Finding the Third Proportional to 73,105.88 and 165,126.94

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Solution

The third proportional to 73,105.88 and 165,126.94 is: 372,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,105.88 : 165,126.94 = 165,126.94 : x
  2. Step 2: Convert to fraction form
    73,105.88/165,126.94 = 165,126.94/x
  3. Step 3: Cross multiply
    73,105.88x = 165,126.94 × 165,126.94
  4. Step 4: Simplify right side
    73,105.88x = 27,266,905,488.13
  5. Step 5: Solve for x
    x = 27,266,905,488.13/73,105.88
  6. Step 6: Final answer
    x = 372,978.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.