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Finding the Third Proportional to 117,711 and 176,103.75

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Solution

The third proportional to 117,711 and 176,103.75 is: 263,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,711 : 176,103.75 = 176,103.75 : x
  2. Step 2: Convert to fraction form
    117,711/176,103.75 = 176,103.75/x
  3. Step 3: Cross multiply
    117,711x = 176,103.75 × 176,103.75
  4. Step 4: Simplify right side
    117,711x = 31,012,530,764.06
  5. Step 5: Solve for x
    x = 31,012,530,764.06/117,711
  6. Step 6: Final answer
    x = 263,463.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.