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Finding the Third Proportional to 108,852 and 168,133

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Solution

The third proportional to 108,852 and 168,133 is: 259,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,852 : 168,133 = 168,133 : x
  2. Step 2: Convert to fraction form
    108,852/168,133 = 168,133/x
  3. Step 3: Cross multiply
    108,852x = 168,133 × 168,133
  4. Step 4: Simplify right side
    108,852x = 28,268,705,689
  5. Step 5: Solve for x
    x = 28,268,705,689/108,852
  6. Step 6: Final answer
    x = 259,698.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.