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Finding the Third Proportional to 76,909.50 and 163,647

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Solution

The third proportional to 76,909.50 and 163,647 is: 348,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,909.50 : 163,647 = 163,647 : x
  2. Step 2: Convert to fraction form
    76,909.50/163,647 = 163,647/x
  3. Step 3: Cross multiply
    76,909.50x = 163,647 × 163,647
  4. Step 4: Simplify right side
    76,909.50x = 26,780,340,609
  5. Step 5: Solve for x
    x = 26,780,340,609/76,909.50
  6. Step 6: Final answer
    x = 348,205.89

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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.