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Finding the Third Proportional to 107,944 and 168,980

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Solution

The third proportional to 107,944 and 168,980 is: 264,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,944 : 168,980 = 168,980 : x
  2. Step 2: Convert to fraction form
    107,944/168,980 = 168,980/x
  3. Step 3: Cross multiply
    107,944x = 168,980 × 168,980
  4. Step 4: Simplify right side
    107,944x = 28,554,240,400
  5. Step 5: Solve for x
    x = 28,554,240,400/107,944
  6. Step 6: Final answer
    x = 264,528.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.