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Finding the Third Proportional to 34,132.50 and 74,459.25

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Solution

The third proportional to 34,132.50 and 74,459.25 is: 162,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,132.50 : 74,459.25 = 74,459.25 : x
  2. Step 2: Convert to fraction form
    34,132.50/74,459.25 = 74,459.25/x
  3. Step 3: Cross multiply
    34,132.50x = 74,459.25 × 74,459.25
  4. Step 4: Simplify right side
    34,132.50x = 5,544,179,910.56
  5. Step 5: Solve for x
    x = 5,544,179,910.56/34,132.50
  6. Step 6: Final answer
    x = 162,431.11

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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.