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Finding the Third Proportional to 75,028.50 and 160,101

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Solution

The third proportional to 75,028.50 and 160,101 is: 341,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,028.50 : 160,101 = 160,101 : x
  2. Step 2: Convert to fraction form
    75,028.50/160,101 = 160,101/x
  3. Step 3: Cross multiply
    75,028.50x = 160,101 × 160,101
  4. Step 4: Simplify right side
    75,028.50x = 25,632,330,201
  5. Step 5: Solve for x
    x = 25,632,330,201/75,028.50
  6. Step 6: Final answer
    x = 341,634.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.