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Finding the Third Proportional to 95,256 and 150,680.25

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Solution

The third proportional to 95,256 and 150,680.25 is: 238,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,256 : 150,680.25 = 150,680.25 : x
  2. Step 2: Convert to fraction form
    95,256/150,680.25 = 150,680.25/x
  3. Step 3: Cross multiply
    95,256x = 150,680.25 × 150,680.25
  4. Step 4: Simplify right side
    95,256x = 22,704,537,740.06
  5. Step 5: Solve for x
    x = 22,704,537,740.06/95,256
  6. Step 6: Final answer
    x = 238,352.84

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