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Finding the Third Proportional to 131,524 and 186,104

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Solution

The third proportional to 131,524 and 186,104 is: 263,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,524 : 186,104 = 186,104 : x
  2. Step 2: Convert to fraction form
    131,524/186,104 = 186,104/x
  3. Step 3: Cross multiply
    131,524x = 186,104 × 186,104
  4. Step 4: Simplify right side
    131,524x = 34,634,698,816
  5. Step 5: Solve for x
    x = 34,634,698,816/131,524
  6. Step 6: Final answer
    x = 263,333.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.