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Finding the Third Proportional to 34,177.50 and 73,969.50

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Solution

The third proportional to 34,177.50 and 73,969.50 is: 160,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,177.50 : 73,969.50 = 73,969.50 : x
  2. Step 2: Convert to fraction form
    34,177.50/73,969.50 = 73,969.50/x
  3. Step 3: Cross multiply
    34,177.50x = 73,969.50 × 73,969.50
  4. Step 4: Simplify right side
    34,177.50x = 5,471,486,930.25
  5. Step 5: Solve for x
    x = 5,471,486,930.25/34,177.50
  6. Step 6: Final answer
    x = 160,090.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.