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Finding the Third Proportional to 115,174 and 177,682

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Solution

The third proportional to 115,174 and 177,682 is: 274,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,174 : 177,682 = 177,682 : x
  2. Step 2: Convert to fraction form
    115,174/177,682 = 177,682/x
  3. Step 3: Cross multiply
    115,174x = 177,682 × 177,682
  4. Step 4: Simplify right side
    115,174x = 31,570,893,124
  5. Step 5: Solve for x
    x = 31,570,893,124/115,174
  6. Step 6: Final answer
    x = 274,114.76

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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.