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Finding the Third Proportional to 56,493 and 121,741.50

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Solution

The third proportional to 56,493 and 121,741.50 is: 262,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493 : 121,741.50 = 121,741.50 : x
  2. Step 2: Convert to fraction form
    56,493/121,741.50 = 121,741.50/x
  3. Step 3: Cross multiply
    56,493x = 121,741.50 × 121,741.50
  4. Step 4: Simplify right side
    56,493x = 14,820,992,822.25
  5. Step 5: Solve for x
    x = 14,820,992,822.25/56,493
  6. Step 6: Final answer
    x = 262,350.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.