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Finding the Third Proportional to 141,036 and 203,787

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Solution

The third proportional to 141,036 and 203,787 is: 294,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,036 : 203,787 = 203,787 : x
  2. Step 2: Convert to fraction form
    141,036/203,787 = 203,787/x
  3. Step 3: Cross multiply
    141,036x = 203,787 × 203,787
  4. Step 4: Simplify right side
    141,036x = 41,529,141,369
  5. Step 5: Solve for x
    x = 41,529,141,369/141,036
  6. Step 6: Final answer
    x = 294,457.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.