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Finding the Third Proportional to 122,866 and 165,108.50

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Solution

The third proportional to 122,866 and 165,108.50 is: 221,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,866 : 165,108.50 = 165,108.50 : x
  2. Step 2: Convert to fraction form
    122,866/165,108.50 = 165,108.50/x
  3. Step 3: Cross multiply
    122,866x = 165,108.50 × 165,108.50
  4. Step 4: Simplify right side
    122,866x = 27,260,816,772.25
  5. Step 5: Solve for x
    x = 27,260,816,772.25/122,866
  6. Step 6: Final answer
    x = 221,874.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.