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Finding the Third Proportional to 124,896 and 191,504

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Solution

The third proportional to 124,896 and 191,504 is: 293,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,896 : 191,504 = 191,504 : x
  2. Step 2: Convert to fraction form
    124,896/191,504 = 191,504/x
  3. Step 3: Cross multiply
    124,896x = 191,504 × 191,504
  4. Step 4: Simplify right side
    124,896x = 36,673,782,016
  5. Step 5: Solve for x
    x = 36,673,782,016/124,896
  6. Step 6: Final answer
    x = 293,634.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.