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Finding the Third Proportional to 108,580 and 158,979

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Solution

The third proportional to 108,580 and 158,979 is: 232,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,580 : 158,979 = 158,979 : x
  2. Step 2: Convert to fraction form
    108,580/158,979 = 158,979/x
  3. Step 3: Cross multiply
    108,580x = 158,979 × 158,979
  4. Step 4: Simplify right side
    108,580x = 25,274,322,441
  5. Step 5: Solve for x
    x = 25,274,322,441/108,580
  6. Step 6: Final answer
    x = 232,771.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.