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Finding the Third Proportional to 108,232 and 161,908

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Solution

The third proportional to 108,232 and 161,908 is: 242,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,232 : 161,908 = 161,908 : x
  2. Step 2: Convert to fraction form
    108,232/161,908 = 161,908/x
  3. Step 3: Cross multiply
    108,232x = 161,908 × 161,908
  4. Step 4: Simplify right side
    108,232x = 26,214,200,464
  5. Step 5: Solve for x
    x = 26,214,200,464/108,232
  6. Step 6: Final answer
    x = 242,203.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.