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Finding the Third Proportional to 113,920 and 170,824

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Solution

The third proportional to 113,920 and 170,824 is: 256,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,920 : 170,824 = 170,824 : x
  2. Step 2: Convert to fraction form
    113,920/170,824 = 170,824/x
  3. Step 3: Cross multiply
    113,920x = 170,824 × 170,824
  4. Step 4: Simplify right side
    113,920x = 29,180,838,976
  5. Step 5: Solve for x
    x = 29,180,838,976/113,920
  6. Step 6: Final answer
    x = 256,152.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.