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Finding the Third Proportional to 123,039 and 142,398

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Solution

The third proportional to 123,039 and 142,398 is: 164,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,039 : 142,398 = 142,398 : x
  2. Step 2: Convert to fraction form
    123,039/142,398 = 142,398/x
  3. Step 3: Cross multiply
    123,039x = 142,398 × 142,398
  4. Step 4: Simplify right side
    123,039x = 20,277,190,404
  5. Step 5: Solve for x
    x = 20,277,190,404/123,039
  6. Step 6: Final answer
    x = 164,802.95

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.