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Finding the Third Proportional to 78,545.00 and 168,161.70

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Solution

The third proportional to 78,545.00 and 168,161.70 is: 360,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,545.00 : 168,161.70 = 168,161.70 : x
  2. Step 2: Convert to fraction form
    78,545.00/168,161.70 = 168,161.70/x
  3. Step 3: Cross multiply
    78,545.00x = 168,161.70 × 168,161.70
  4. Step 4: Simplify right side
    78,545.00x = 28,278,355,770.37
  5. Step 5: Solve for x
    x = 28,278,355,770.37/78,545.00
  6. Step 6: Final answer
    x = 360,027.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.