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Finding the Third Proportional to 112,801.50 and 171,009

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Solution

The third proportional to 112,801.50 and 171,009 is: 259,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,801.50 : 171,009 = 171,009 : x
  2. Step 2: Convert to fraction form
    112,801.50/171,009 = 171,009/x
  3. Step 3: Cross multiply
    112,801.50x = 171,009 × 171,009
  4. Step 4: Simplify right side
    112,801.50x = 29,244,078,081
  5. Step 5: Solve for x
    x = 29,244,078,081/112,801.50
  6. Step 6: Final answer
    x = 259,252.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.