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Finding the Third Proportional to 71,797.22 and 119,246.34

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Solution

The third proportional to 71,797.22 and 119,246.34 is: 198,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,797.22 : 119,246.34 = 119,246.34 : x
  2. Step 2: Convert to fraction form
    71,797.22/119,246.34 = 119,246.34/x
  3. Step 3: Cross multiply
    71,797.22x = 119,246.34 × 119,246.34
  4. Step 4: Simplify right side
    71,797.22x = 14,219,690,497.74
  5. Step 5: Solve for x
    x = 14,219,690,497.74/71,797.22
  6. Step 6: Final answer
    x = 198,053.50

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.