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Finding the Third Proportional to 70,200 and 131,449.50

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Solution

The third proportional to 70,200 and 131,449.50 is: 246,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,200 : 131,449.50 = 131,449.50 : x
  2. Step 2: Convert to fraction form
    70,200/131,449.50 = 131,449.50/x
  3. Step 3: Cross multiply
    70,200x = 131,449.50 × 131,449.50
  4. Step 4: Simplify right side
    70,200x = 17,278,971,050.25
  5. Step 5: Solve for x
    x = 17,278,971,050.25/70,200
  6. Step 6: Final answer
    x = 246,139.19

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.