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Finding the Third Proportional to 110,029.50 and 164,979

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Solution

The third proportional to 110,029.50 and 164,979 is: 247,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,029.50 : 164,979 = 164,979 : x
  2. Step 2: Convert to fraction form
    110,029.50/164,979 = 164,979/x
  3. Step 3: Cross multiply
    110,029.50x = 164,979 × 164,979
  4. Step 4: Simplify right side
    110,029.50x = 27,218,070,441
  5. Step 5: Solve for x
    x = 27,218,070,441/110,029.50
  6. Step 6: Final answer
    x = 247,370.66

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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.