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Finding the Third Proportional to 108,662 and 161,841

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Solution

The third proportional to 108,662 and 161,841 is: 241,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,662 : 161,841 = 161,841 : x
  2. Step 2: Convert to fraction form
    108,662/161,841 = 161,841/x
  3. Step 3: Cross multiply
    108,662x = 161,841 × 161,841
  4. Step 4: Simplify right side
    108,662x = 26,192,509,281
  5. Step 5: Solve for x
    x = 26,192,509,281/108,662
  6. Step 6: Final answer
    x = 241,045.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.