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Finding the Third Proportional to 123,471 and 184,393.50

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Solution

The third proportional to 123,471 and 184,393.50 is: 275,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,471 : 184,393.50 = 184,393.50 : x
  2. Step 2: Convert to fraction form
    123,471/184,393.50 = 184,393.50/x
  3. Step 3: Cross multiply
    123,471x = 184,393.50 × 184,393.50
  4. Step 4: Simplify right side
    123,471x = 34,000,962,842.25
  5. Step 5: Solve for x
    x = 34,000,962,842.25/123,471
  6. Step 6: Final answer
    x = 275,376.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.