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Finding the Third Proportional to 117,928 and 182,608

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Solution

The third proportional to 117,928 and 182,608 is: 282,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,928 : 182,608 = 182,608 : x
  2. Step 2: Convert to fraction form
    117,928/182,608 = 182,608/x
  3. Step 3: Cross multiply
    117,928x = 182,608 × 182,608
  4. Step 4: Simplify right side
    117,928x = 33,345,681,664
  5. Step 5: Solve for x
    x = 33,345,681,664/117,928
  6. Step 6: Final answer
    x = 282,763.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.