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Finding the Third Proportional to 119,025 and 184,414

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Solution

The third proportional to 119,025 and 184,414 is: 285,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,025 : 184,414 = 184,414 : x
  2. Step 2: Convert to fraction form
    119,025/184,414 = 184,414/x
  3. Step 3: Cross multiply
    119,025x = 184,414 × 184,414
  4. Step 4: Simplify right side
    119,025x = 34,008,523,396
  5. Step 5: Solve for x
    x = 34,008,523,396/119,025
  6. Step 6: Final answer
    x = 285,725.88

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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.