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Finding the Third Proportional to 122,542.88 and 166,303.13

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Solution

The third proportional to 122,542.88 and 166,303.13 is: 225,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,542.88 : 166,303.13 = 166,303.13 : x
  2. Step 2: Convert to fraction form
    122,542.88/166,303.13 = 166,303.13/x
  3. Step 3: Cross multiply
    122,542.88x = 166,303.13 × 166,303.13
  4. Step 4: Simplify right side
    122,542.88x = 27,656,729,384.77
  5. Step 5: Solve for x
    x = 27,656,729,384.77/122,542.88
  6. Step 6: Final answer
    x = 225,690.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.