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Finding the Third Proportional to 123,327 and 184,495.13

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Solution

The third proportional to 123,327 and 184,495.13 is: 276,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,327 : 184,495.13 = 184,495.13 : x
  2. Step 2: Convert to fraction form
    123,327/184,495.13 = 184,495.13/x
  3. Step 3: Cross multiply
    123,327x = 184,495.13 × 184,495.13
  4. Step 4: Simplify right side
    123,327x = 34,038,451,148.77
  5. Step 5: Solve for x
    x = 34,038,451,148.77/123,327
  6. Step 6: Final answer
    x = 276,001.61

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Why These Related Problems?

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