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Finding the Third Proportional to 118,402 and 184,026

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Solution

The third proportional to 118,402 and 184,026 is: 286,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,402 : 184,026 = 184,026 : x
  2. Step 2: Convert to fraction form
    118,402/184,026 = 184,026/x
  3. Step 3: Cross multiply
    118,402x = 184,026 × 184,026
  4. Step 4: Simplify right side
    118,402x = 33,865,568,676
  5. Step 5: Solve for x
    x = 33,865,568,676/118,402
  6. Step 6: Final answer
    x = 286,021.93

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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.