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Finding the Third Proportional to 125,696 and 175,824

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Solution

The third proportional to 125,696 and 175,824 is: 245,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,696 : 175,824 = 175,824 : x
  2. Step 2: Convert to fraction form
    125,696/175,824 = 175,824/x
  3. Step 3: Cross multiply
    125,696x = 175,824 × 175,824
  4. Step 4: Simplify right side
    125,696x = 30,914,078,976
  5. Step 5: Solve for x
    x = 30,914,078,976/125,696
  6. Step 6: Final answer
    x = 245,943.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.