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Finding the Third Proportional to 60,616 and 131,723.50

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Solution

The third proportional to 60,616 and 131,723.50 is: 286,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,616 : 131,723.50 = 131,723.50 : x
  2. Step 2: Convert to fraction form
    60,616/131,723.50 = 131,723.50/x
  3. Step 3: Cross multiply
    60,616x = 131,723.50 × 131,723.50
  4. Step 4: Simplify right side
    60,616x = 17,351,080,452.25
  5. Step 5: Solve for x
    x = 17,351,080,452.25/60,616
  6. Step 6: Final answer
    x = 286,245.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.