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Finding the Third Proportional to 67,085.50 and 143,564.50

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Solution

The third proportional to 67,085.50 and 143,564.50 is: 307,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,085.50 : 143,564.50 = 143,564.50 : x
  2. Step 2: Convert to fraction form
    67,085.50/143,564.50 = 143,564.50/x
  3. Step 3: Cross multiply
    67,085.50x = 143,564.50 × 143,564.50
  4. Step 4: Simplify right side
    67,085.50x = 20,610,765,660.25
  5. Step 5: Solve for x
    x = 20,610,765,660.25/67,085.50
  6. Step 6: Final answer
    x = 307,231.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.