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Finding the Third Proportional to 122,898.94 and 166,045.78

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Solution

The third proportional to 122,898.94 and 166,045.78 is: 224,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,898.94 : 166,045.78 = 166,045.78 : x
  2. Step 2: Convert to fraction form
    122,898.94/166,045.78 = 166,045.78/x
  3. Step 3: Cross multiply
    122,898.94x = 166,045.78 × 166,045.78
  4. Step 4: Simplify right side
    122,898.94x = 27,571,201,470.92
  5. Step 5: Solve for x
    x = 27,571,201,470.92/122,898.94
  6. Step 6: Final answer
    x = 224,340.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.