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Finding the Third Proportional to 119,072 and 184,207

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Solution

The third proportional to 119,072 and 184,207 is: 284,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,072 : 184,207 = 184,207 : x
  2. Step 2: Convert to fraction form
    119,072/184,207 = 184,207/x
  3. Step 3: Cross multiply
    119,072x = 184,207 × 184,207
  4. Step 4: Simplify right side
    119,072x = 33,932,218,849
  5. Step 5: Solve for x
    x = 33,932,218,849/119,072
  6. Step 6: Final answer
    x = 284,972.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.