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Finding the Third Proportional to 76,909.50 and 170,403.75

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Solution

The third proportional to 76,909.50 and 170,403.75 is: 377,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,909.50 : 170,403.75 = 170,403.75 : x
  2. Step 2: Convert to fraction form
    76,909.50/170,403.75 = 170,403.75/x
  3. Step 3: Cross multiply
    76,909.50x = 170,403.75 × 170,403.75
  4. Step 4: Simplify right side
    76,909.50x = 29,037,438,014.06
  5. Step 5: Solve for x
    x = 29,037,438,014.06/76,909.50
  6. Step 6: Final answer
    x = 377,553.33

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.