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Finding the Third Proportional to 79,672.50 and 174,046.50

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Solution

The third proportional to 79,672.50 and 174,046.50 is: 380,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,672.50 : 174,046.50 = 174,046.50 : x
  2. Step 2: Convert to fraction form
    79,672.50/174,046.50 = 174,046.50/x
  3. Step 3: Cross multiply
    79,672.50x = 174,046.50 × 174,046.50
  4. Step 4: Simplify right side
    79,672.50x = 30,292,184,162.25
  5. Step 5: Solve for x
    x = 30,292,184,162.25/79,672.50
  6. Step 6: Final answer
    x = 380,208.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.