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Finding the Third Proportional to 83,480 and 180,112

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Solution

The third proportional to 83,480 and 180,112 is: 388,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,480 : 180,112 = 180,112 : x
  2. Step 2: Convert to fraction form
    83,480/180,112 = 180,112/x
  3. Step 3: Cross multiply
    83,480x = 180,112 × 180,112
  4. Step 4: Simplify right side
    83,480x = 32,440,332,544
  5. Step 5: Solve for x
    x = 32,440,332,544/83,480
  6. Step 6: Final answer
    x = 388,600.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.