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Finding the Third Proportional to 65,653.50 and 103,198.50

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Solution

The third proportional to 65,653.50 and 103,198.50 is: 162,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653.50 : 103,198.50 = 103,198.50 : x
  2. Step 2: Convert to fraction form
    65,653.50/103,198.50 = 103,198.50/x
  3. Step 3: Cross multiply
    65,653.50x = 103,198.50 × 103,198.50
  4. Step 4: Simplify right side
    65,653.50x = 10,649,930,402.25
  5. Step 5: Solve for x
    x = 10,649,930,402.25/65,653.50
  6. Step 6: Final answer
    x = 162,214.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.