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Finding the Third Proportional to 114,980 and 177,609

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Solution

The third proportional to 114,980 and 177,609 is: 274,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,980 : 177,609 = 177,609 : x
  2. Step 2: Convert to fraction form
    114,980/177,609 = 177,609/x
  3. Step 3: Cross multiply
    114,980x = 177,609 × 177,609
  4. Step 4: Simplify right side
    114,980x = 31,544,956,881
  5. Step 5: Solve for x
    x = 31,544,956,881/114,980
  6. Step 6: Final answer
    x = 274,351.69

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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.