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Finding the Third Proportional to 136,584 and 184,124

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Solution

The third proportional to 136,584 and 184,124 is: 248,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,584 : 184,124 = 184,124 : x
  2. Step 2: Convert to fraction form
    136,584/184,124 = 184,124/x
  3. Step 3: Cross multiply
    136,584x = 184,124 × 184,124
  4. Step 4: Simplify right side
    136,584x = 33,901,647,376
  5. Step 5: Solve for x
    x = 33,901,647,376/136,584
  6. Step 6: Final answer
    x = 248,210.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.