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Finding the Third Proportional to 122,532 and 166,297.50

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Solution

The third proportional to 122,532 and 166,297.50 is: 225,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,532 : 166,297.50 = 166,297.50 : x
  2. Step 2: Convert to fraction form
    122,532/166,297.50 = 166,297.50/x
  3. Step 3: Cross multiply
    122,532x = 166,297.50 × 166,297.50
  4. Step 4: Simplify right side
    122,532x = 27,654,858,506.25
  5. Step 5: Solve for x
    x = 27,654,858,506.25/122,532
  6. Step 6: Final answer
    x = 225,694.99

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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.