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Finding the Third Proportional to 76,984 and 160,014

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Solution

The third proportional to 76,984 and 160,014 is: 332,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,984 : 160,014 = 160,014 : x
  2. Step 2: Convert to fraction form
    76,984/160,014 = 160,014/x
  3. Step 3: Cross multiply
    76,984x = 160,014 × 160,014
  4. Step 4: Simplify right side
    76,984x = 25,604,480,196
  5. Step 5: Solve for x
    x = 25,604,480,196/76,984
  6. Step 6: Final answer
    x = 332,594.83

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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.