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Finding the Third Proportional to 83,544 and 180,128

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Solution

The third proportional to 83,544 and 180,128 is: 388,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544 : 180,128 = 180,128 : x
  2. Step 2: Convert to fraction form
    83,544/180,128 = 180,128/x
  3. Step 3: Cross multiply
    83,544x = 180,128 × 180,128
  4. Step 4: Simplify right side
    83,544x = 32,446,096,384
  5. Step 5: Solve for x
    x = 32,446,096,384/83,544
  6. Step 6: Final answer
    x = 388,371.35

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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.