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Finding the Third Proportional to 116,120 and 179,463

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Solution

The third proportional to 116,120 and 179,463 is: 277,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,120 : 179,463 = 179,463 : x
  2. Step 2: Convert to fraction form
    116,120/179,463 = 179,463/x
  3. Step 3: Cross multiply
    116,120x = 179,463 × 179,463
  4. Step 4: Simplify right side
    116,120x = 32,206,968,369
  5. Step 5: Solve for x
    x = 32,206,968,369/116,120
  6. Step 6: Final answer
    x = 277,359.36

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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.