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Finding the Third Proportional to 76,808.50 and 159,748.50

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Solution

The third proportional to 76,808.50 and 159,748.50 is: 332,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,808.50 : 159,748.50 = 159,748.50 : x
  2. Step 2: Convert to fraction form
    76,808.50/159,748.50 = 159,748.50/x
  3. Step 3: Cross multiply
    76,808.50x = 159,748.50 × 159,748.50
  4. Step 4: Simplify right side
    76,808.50x = 25,519,583,252.25
  5. Step 5: Solve for x
    x = 25,519,583,252.25/76,808.50
  6. Step 6: Final answer
    x = 332,249.47

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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.