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Finding the Third Proportional to 108,945 and 150,023.25

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Solution

The third proportional to 108,945 and 150,023.25 is: 206,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,945 : 150,023.25 = 150,023.25 : x
  2. Step 2: Convert to fraction form
    108,945/150,023.25 = 150,023.25/x
  3. Step 3: Cross multiply
    108,945x = 150,023.25 × 150,023.25
  4. Step 4: Simplify right side
    108,945x = 22,506,975,540.56
  5. Step 5: Solve for x
    x = 22,506,975,540.56/108,945
  6. Step 6: Final answer
    x = 206,590.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.