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Finding the Third Proportional to 116,100 and 178,686

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Solution

The third proportional to 116,100 and 178,686 is: 275,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,100 : 178,686 = 178,686 : x
  2. Step 2: Convert to fraction form
    116,100/178,686 = 178,686/x
  3. Step 3: Cross multiply
    116,100x = 178,686 × 178,686
  4. Step 4: Simplify right side
    116,100x = 31,928,686,596
  5. Step 5: Solve for x
    x = 31,928,686,596/116,100
  6. Step 6: Final answer
    x = 275,010.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.