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Finding the Third Proportional to 77,035.50 and 168,250.50

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Solution

The third proportional to 77,035.50 and 168,250.50 is: 367,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,035.50 : 168,250.50 = 168,250.50 : x
  2. Step 2: Convert to fraction form
    77,035.50/168,250.50 = 168,250.50/x
  3. Step 3: Cross multiply
    77,035.50x = 168,250.50 × 168,250.50
  4. Step 4: Simplify right side
    77,035.50x = 28,308,230,750.25
  5. Step 5: Solve for x
    x = 28,308,230,750.25/77,035.50
  6. Step 6: Final answer
    x = 367,469.94

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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.