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Finding the Third Proportional to 119,022.50 and 163,206.75

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Solution

The third proportional to 119,022.50 and 163,206.75 is: 223,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,022.50 : 163,206.75 = 163,206.75 : x
  2. Step 2: Convert to fraction form
    119,022.50/163,206.75 = 163,206.75/x
  3. Step 3: Cross multiply
    119,022.50x = 163,206.75 × 163,206.75
  4. Step 4: Simplify right side
    119,022.50x = 26,636,443,245.56
  5. Step 5: Solve for x
    x = 26,636,443,245.56/119,022.50
  6. Step 6: Final answer
    x = 223,793.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.