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Finding the Third Proportional to 108,268 and 159,120

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Solution

The third proportional to 108,268 and 159,120 is: 233,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,268 : 159,120 = 159,120 : x
  2. Step 2: Convert to fraction form
    108,268/159,120 = 159,120/x
  3. Step 3: Cross multiply
    108,268x = 159,120 × 159,120
  4. Step 4: Simplify right side
    108,268x = 25,319,174,400
  5. Step 5: Solve for x
    x = 25,319,174,400/108,268
  6. Step 6: Final answer
    x = 233,856.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.