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Finding the Third Proportional to 95,006.25 and 150,431.63

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Solution

The third proportional to 95,006.25 and 150,431.63 is: 238,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,006.25 : 150,431.63 = 150,431.63 : x
  2. Step 2: Convert to fraction form
    95,006.25/150,431.63 = 150,431.63/x
  3. Step 3: Cross multiply
    95,006.25x = 150,431.63 × 150,431.63
  4. Step 4: Simplify right side
    95,006.25x = 22,629,673,800.14
  5. Step 5: Solve for x
    x = 22,629,673,800.14/95,006.25
  6. Step 6: Final answer
    x = 238,191.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.