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Finding the Third Proportional to 125,494 and 184,055

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Solution

The third proportional to 125,494 and 184,055 is: 269,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,494 : 184,055 = 184,055 : x
  2. Step 2: Convert to fraction form
    125,494/184,055 = 184,055/x
  3. Step 3: Cross multiply
    125,494x = 184,055 × 184,055
  4. Step 4: Simplify right side
    125,494x = 33,876,243,025
  5. Step 5: Solve for x
    x = 33,876,243,025/125,494
  6. Step 6: Final answer
    x = 269,943.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.