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Finding the Third Proportional to 81,963 and 174,933

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Solution

The third proportional to 81,963 and 174,933 is: 373,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,963 : 174,933 = 174,933 : x
  2. Step 2: Convert to fraction form
    81,963/174,933 = 174,933/x
  3. Step 3: Cross multiply
    81,963x = 174,933 × 174,933
  4. Step 4: Simplify right side
    81,963x = 30,601,554,489
  5. Step 5: Solve for x
    x = 30,601,554,489/81,963
  6. Step 6: Final answer
    x = 373,358.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.