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Finding the Third Proportional to 128,059.50 and 185,009

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Solution

The third proportional to 128,059.50 and 185,009 is: 267,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,059.50 : 185,009 = 185,009 : x
  2. Step 2: Convert to fraction form
    128,059.50/185,009 = 185,009/x
  3. Step 3: Cross multiply
    128,059.50x = 185,009 × 185,009
  4. Step 4: Simplify right side
    128,059.50x = 34,228,330,081
  5. Step 5: Solve for x
    x = 34,228,330,081/128,059.50
  6. Step 6: Final answer
    x = 267,284.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.