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Finding the Third Proportional to 76,990 and 160,028

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Solution

The third proportional to 76,990 and 160,028 is: 332,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,990 : 160,028 = 160,028 : x
  2. Step 2: Convert to fraction form
    76,990/160,028 = 160,028/x
  3. Step 3: Cross multiply
    76,990x = 160,028 × 160,028
  4. Step 4: Simplify right side
    76,990x = 25,608,960,784
  5. Step 5: Solve for x
    x = 25,608,960,784/76,990
  6. Step 6: Final answer
    x = 332,627.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.