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Finding the Third Proportional to 108,969 and 235,149

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Solution

The third proportional to 108,969 and 235,149 is: 507,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,969 : 235,149 = 235,149 : x
  2. Step 2: Convert to fraction form
    108,969/235,149 = 235,149/x
  3. Step 3: Cross multiply
    108,969x = 235,149 × 235,149
  4. Step 4: Simplify right side
    108,969x = 55,295,052,201
  5. Step 5: Solve for x
    x = 55,295,052,201/108,969
  6. Step 6: Final answer
    x = 507,438.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.