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Finding the Third Proportional to 119,016 and 184,402

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Solution

The third proportional to 119,016 and 184,402 is: 285,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,016 : 184,402 = 184,402 : x
  2. Step 2: Convert to fraction form
    119,016/184,402 = 184,402/x
  3. Step 3: Cross multiply
    119,016x = 184,402 × 184,402
  4. Step 4: Simplify right side
    119,016x = 34,004,097,604
  5. Step 5: Solve for x
    x = 34,004,097,604/119,016
  6. Step 6: Final answer
    x = 285,710.30

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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.