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Finding the Third Proportional to 114,102 and 177,371.44

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Solution

The third proportional to 114,102 and 177,371.44 is: 275,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,102 : 177,371.44 = 177,371.44 : x
  2. Step 2: Convert to fraction form
    114,102/177,371.44 = 177,371.44/x
  3. Step 3: Cross multiply
    114,102x = 177,371.44 × 177,371.44
  4. Step 4: Simplify right side
    114,102x = 31,460,626,840.82
  5. Step 5: Solve for x
    x = 31,460,626,840.82/114,102
  6. Step 6: Final answer
    x = 275,723.71

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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.