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Finding the Third Proportional to 82,238.63 and 123,033.94

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Solution

The third proportional to 82,238.63 and 123,033.94 is: 184,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,238.63 : 123,033.94 = 123,033.94 : x
  2. Step 2: Convert to fraction form
    82,238.63/123,033.94 = 123,033.94/x
  3. Step 3: Cross multiply
    82,238.63x = 123,033.94 × 123,033.94
  4. Step 4: Simplify right side
    82,238.63x = 15,137,349,776.75
  5. Step 5: Solve for x
    x = 15,137,349,776.75/82,238.63
  6. Step 6: Final answer
    x = 184,066.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.