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Finding the Third Proportional to 116,678 and 176,086

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Solution

The third proportional to 116,678 and 176,086 is: 265,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,678 : 176,086 = 176,086 : x
  2. Step 2: Convert to fraction form
    116,678/176,086 = 176,086/x
  3. Step 3: Cross multiply
    116,678x = 176,086 × 176,086
  4. Step 4: Simplify right side
    116,678x = 31,006,279,396
  5. Step 5: Solve for x
    x = 31,006,279,396/116,678
  6. Step 6: Final answer
    x = 265,742.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.