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Finding the Third Proportional to 83,792 and 119,480

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Solution

The third proportional to 83,792 and 119,480 is: 170,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,792 : 119,480 = 119,480 : x
  2. Step 2: Convert to fraction form
    83,792/119,480 = 119,480/x
  3. Step 3: Cross multiply
    83,792x = 119,480 × 119,480
  4. Step 4: Simplify right side
    83,792x = 14,275,470,400
  5. Step 5: Solve for x
    x = 14,275,470,400/83,792
  6. Step 6: Final answer
    x = 170,367.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.