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Finding the Third Proportional to 65,212.50 and 103,655.25

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Solution

The third proportional to 65,212.50 and 103,655.25 is: 164,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.50 : 103,655.25 = 103,655.25 : x
  2. Step 2: Convert to fraction form
    65,212.50/103,655.25 = 103,655.25/x
  3. Step 3: Cross multiply
    65,212.50x = 103,655.25 × 103,655.25
  4. Step 4: Simplify right side
    65,212.50x = 10,744,410,852.56
  5. Step 5: Solve for x
    x = 10,744,410,852.56/65,212.50
  6. Step 6: Final answer
    x = 164,759.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.