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Finding the Third Proportional to 65,674.50 and 100,150.50

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Solution

The third proportional to 65,674.50 and 100,150.50 is: 152,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674.50 : 100,150.50 = 100,150.50 : x
  2. Step 2: Convert to fraction form
    65,674.50/100,150.50 = 100,150.50/x
  3. Step 3: Cross multiply
    65,674.50x = 100,150.50 × 100,150.50
  4. Step 4: Simplify right side
    65,674.50x = 10,030,122,650.25
  5. Step 5: Solve for x
    x = 10,030,122,650.25/65,674.50
  6. Step 6: Final answer
    x = 152,724.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.