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Finding the Third Proportional to 123,344 and 163,976

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Solution

The third proportional to 123,344 and 163,976 is: 217,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,344 : 163,976 = 163,976 : x
  2. Step 2: Convert to fraction form
    123,344/163,976 = 163,976/x
  3. Step 3: Cross multiply
    123,344x = 163,976 × 163,976
  4. Step 4: Simplify right side
    123,344x = 26,888,128,576
  5. Step 5: Solve for x
    x = 26,888,128,576/123,344
  6. Step 6: Final answer
    x = 217,993.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.