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Finding the Third Proportional to 35,819.25 and 78,199.50

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Solution

The third proportional to 35,819.25 and 78,199.50 is: 170,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,819.25 : 78,199.50 = 78,199.50 : x
  2. Step 2: Convert to fraction form
    35,819.25/78,199.50 = 78,199.50/x
  3. Step 3: Cross multiply
    35,819.25x = 78,199.50 × 78,199.50
  4. Step 4: Simplify right side
    35,819.25x = 6,115,161,800.25
  5. Step 5: Solve for x
    x = 6,115,161,800.25/35,819.25
  6. Step 6: Final answer
    x = 170,722.78

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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.